Search a number
-
+
120110121102000 = 2435381712449927
BaseRepresentation
bin11011010011110101010001…
…000110100010101010110000
3120202021102012212001122000210
4123103311101012202222300
5111220341012000231000
61103241454454144120
734204445525125521
oct3323652106425260
9522242185048023
10120110121102000
11352a8464109017
121157a190652040
135203449a48263
14219350a378848
15dd45171c0350
hex6d3d511a2ab0

120110121102000 has 160 divisors (see below), whose sum is σ = 387282579899904. Its totient is φ = 32025432672000.

The previous prime is 120110121101987. The next prime is 120110121102077. The reversal of 120110121102000 is 201121011021.

It is a super-2 number, since 2×1201101211020002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47801037 + ... + 50250963.

Almost surely, 2120110121102000 is an apocalyptic number.

120110121102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193641289949952).

120110121102000 is an abundant number, since it is smaller than the sum of its proper divisors (267172458797904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120110121102000 is a wasteful number, since it uses less digits than its factorization.

120110121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458124 (or 2458108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120110121102000 its reverse (201121011021), we get a palindrome (120311242113021).

The spelling of 120110121102000 in words is "one hundred twenty trillion, one hundred ten billion, one hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 8171 16342 24513 32684 40855 49026 65368 81710 98052 122565 130736 163420 196104 204275 245130 326840 392208 408550 490260 612825 653680 817100 980520 1021375 1225650 1634200 1961040 2042750 2449927 2451300 3064125 3268400 4085500 4899854 4902600 6128250 7349781 8171000 9799708 9805200 12249635 12256500 14699562 16342000 19599416 24499270 24513000 29399124 36748905 39198832 48998540 49026000 58798248 61248175 73497810 97997080 117596496 122496350 146995620 183744525 195994160 244992700 293991240 306240875 367489050 489985400 587982480 612481750 734978100 918722625 979970800 1224963500 1469956200 1837445250 2449927000 2939912400 3674890500 4899854000 7349781000 14699562000 20018353517 40036707034 60055060551 80073414068 100091767585 120110121102 160146828136 200183535170 240220242204 300275302755 320293656272 400367070340 480440484408 500458837925 600550605510 800734140680 960880968816 1000917675850 1201101211020 1501376513775 1601468281360 2001835351700 2402202422040 2502294189625 3002753027550 4003670703400 4804404844080 5004588379250 6005506055100 7506882568875 8007341406800 10009176758500 12011012110200 15013765137750 20018353517000 24022024220400 30027530275500 40036707034000 60055060551000 120110121102000