Search a number
-
+
1221201201120 = 253510392448671
BaseRepresentation
bin10001110001010101010…
…000111000011111100000
311022202010121111201101120
4101301111100320133200
5130002010001413440
62333002335532240
7154141334640015
oct21612520703740
94282117451346
101221201201120
114309aa27230a
1217881598a080
138b20aab7724
144316c17370c
1521b7612cdd0
hex11c554387e0

1221201201120 has 96 divisors (see below), whose sum is σ = 3850487746560. Its totient is φ = 325340090880.

The previous prime is 1221201201097. The next prime is 1221201201161. The reversal of 1221201201120 is 211021021221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221201201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725616 + ... + 1723055.

It is an arithmetic number, because the mean of its divisors is an integer number (40109247360).

Almost surely, 21221201201120 is an apocalyptic number.

1221201201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221201201120 is an abundant number, since it is smaller than the sum of its proper divisors (2629286545440).

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

1221201201120 is a wasteful number, since it uses less digits than its factorization.

1221201201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449728 (or 2449720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221201201120 its reverse (211021021221), we get a palindrome (1432222222341).

The spelling of 1221201201120 in words is "one trillion, two hundred twenty-one billion, two hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1039 2078 3117 4156 5195 6234 8312 10390 12468 15585 16624 20780 24936 31170 33248 41560 49872 62340 83120 99744 124680 166240 249360 498720 2448671 4897342 7346013 9794684 12243355 14692026 19589368 24486710 29384052 36730065 39178736 48973420 58768104 73460130 78357472 97946840 117536208 146920260 195893680 235072416 293840520 391787360 587681040 1175362080 2544169169 5088338338 7632507507 10176676676 12720845845 15265015014 20353353352 25441691690 30530030028 38162537535 40706706704 50883383380 61060060056 76325075070 81413413408 101766766760 122120120112 152650150140 203533533520 244240240224 305300300280 407067067040 610600600560 1221201201120