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120103231212 = 223237899071117
BaseRepresentation
bin110111111011010110…
…1011101111011101100
3102111000012102022002200
41233312231131323230
53431432411344322
6131101421021500
711451161423016
oct1576655357354
9374005368080
10120103231212
1146a32163278
121b33a3b4890
13b4306bc823
145b54d391b6
1531ce0978ac
hex1bf6b5deec

120103231212 has 144 divisors (see below), whose sum is σ = 315933115680. Its totient is φ = 38437825536.

The previous prime is 120103231163. The next prime is 120103231277. The reversal of 120103231212 is 212132301021.

120103231212 is a `hidden beast` number, since 120 + 10 + 323 + 1 + 212 = 666.

It is a super-2 number, since 2×1201032312122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107522478 + ... + 107523594.

It is an arithmetic number, because the mean of its divisors is an integer number (2193979970).

Almost surely, 2120103231212 is an apocalyptic number.

120103231212 is a gapful number since it is divisible by the number (12) 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 120103231212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157966557840).

120103231212 is an abundant number, since it is smaller than the sum of its proper divisors (195829884468).

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

120103231212 is a wasteful number, since it uses less digits than its factorization.

120103231212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120103231212 its reverse (212132301021), we get a palindrome (332235532233).

The spelling of 120103231212 in words is "one hundred twenty billion, one hundred three million, two hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 907 1068 1117 1332 1602 1814 2234 2721 3204 3293 3351 3628 4468 5442 6586 6702 8163 9879 10053 10884 13172 13404 16326 19758 20106 29637 32652 33559 39516 40212 41329 59274 67118 80723 82658 99413 100677 118548 123987 134236 161446 165316 198826 201354 242169 247974 298239 302031 322892 371961 397652 402708 484338 495948 596478 604062 726507 743922 894717 968676 1013119 1192956 1208124 1453014 1487844 1789434 2026238 2906028 2986751 3039357 3578868 3678281 4052476 5973502 6078714 7356562 8960253 9118071 11034843 11947004 12157428 14713124 17920506 18236142 22069686 26880759 33104529 35841012 36472284 37485403 44139372 53761518 66209058 74970806 90167591 107523036 112456209 132418116 149941612 180335182 224912418 270502773 337368627 360670364 449824836 541005546 674737254 811508319 1082011092 1349474508 1623016638 3246033276 3336200867 6672401734 10008602601 13344803468 20017205202 30025807803 40034410404 60051615606 120103231212