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121002005140100 = 225271092957536311
BaseRepresentation
bin11011100000110011111001…
…100010001001001010000100
3120212102200022210020010112122
4123200303321202021022010
5111324444101303440400
61105203315340305112
734326051326303540
oct3340637142111204
9525380283203478
10121002005140100
1135611731427587
12116a2bba842198
135269594c4c336
1421c475790ca20
15dec816e47685
hex6e0cf9889284

121002005140100 has 144 divisors (see below), whose sum is σ = 302941024700160. Its totient is φ = 41091814771200.

The previous prime is 121002005140043. The next prime is 121002005140103. The reversal of 121002005140100 is 1041500200121.

It is not an unprimeable number, because it can be changed into a prime (121002005140103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225350945 + ... + 225887255.

Almost surely, 2121002005140100 is an apocalyptic number.

121002005140100 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 121002005140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151470512350080).

121002005140100 is an abundant number, since it is smaller than the sum of its proper divisors (181939019560060).

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

121002005140100 is a wasteful number, since it uses less digits than its factorization.

121002005140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539398 (or 539391 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 121002005140100 its reverse (1041500200121), we get a palindrome (122043505340221).

The spelling of 121002005140100 in words is "one hundred twenty-one trillion, two billion, five million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 140 175 218 350 436 545 700 763 1090 1526 2180 2725 2957 3052 3815 5450 5914 7630 10900 11828 14785 15260 19075 20699 29570 38150 41398 59140 73925 76300 82796 103495 147850 206990 295700 322313 413980 517475 536311 644626 1034950 1072622 1289252 1611565 2069900 2145244 2256191 2681555 3223130 3754177 4512382 5363110 6446260 7508354 8057825 9024764 10726220 11280955 13407775 15016708 16115650 18770885 22561910 26815550 32231300 37541770 45123820 53631100 56404775 58457899 75083540 93854425 112809550 116915798 187708850 225619100 233831596 292289495 375417700 409205293 584578990 818410586 1169157980 1461447475 1585871627 1636821172 2046026465 2922894950 3171743254 4092052930 5845789900 6343486508 7929358135 8184105860 10230132325 11101101389 15858716270 20460264650 22202202778 31717432540 39646790675 40920529300 44404405556 55505506945 79293581350 111011013890 158587162700 172860007343 222022027780 277527534725 345720014686 555055069450 691440029372 864300036715 1110110138900 1210020051401 1728600073430 2420040102802 3457200146860 4321500183575 4840080205604 6050100257005 8643000367150 12100200514010 17286000734300 24200401028020 30250501285025 60501002570050 121002005140100