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120102012012 = 2231731131144973
BaseRepresentation
bin110111111011010100…
…0110100010001101100
3102111000010010100200010
41233312220310101230
53431432103341022
6131101334533220
711451145154343
oct1576650642154
9374003110603
10120102012012
1146a31500274
121b339b07210
13b4303838c8
145b54adcb5a
1531cde0650c
hex1bf6a3446c

120102012012 has 96 divisors (see below), whose sum is σ = 308634568704. Its totient is φ = 36185011200.

The previous prime is 120102011983. The next prime is 120102012061. The reversal of 120102012012 is 210210201021.

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, 755958 + ... + 900930.

It is an arithmetic number, because the mean of its divisors is an integer number (3214943424).

Almost surely, 2120102012012 is an apocalyptic number.

120102012012 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 120102012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154317284352).

120102012012 is an abundant number, since it is smaller than the sum of its proper divisors (188532556692).

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

120102012012 is a wasteful number, since it uses less digits than its factorization.

120102012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145159 (or 145157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120102012012 its reverse (210210201021), we get a palindrome (330312213033).

The spelling of 120102012012 in words is "one hundred twenty billion, one hundred two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 131 186 204 262 372 393 524 527 786 1054 1572 1581 2108 2227 3162 4061 4454 6324 6681 8122 8908 12183 13362 16244 24366 26724 48732 69037 138074 144973 207111 276148 289946 414222 434919 579892 828444 869838 1739676 2464541 4494163 4929082 7393623 8988326 9858164 13482489 14787246 17976652 18991463 26964978 29574492 37982926 53929956 56974389 75965852 76400771 113948778 152801542 227897556 229202313 305603084 322854871 458404626 588735353 645709742 916809252 968564613 1177470706 1291419484 1766206059 1937129226 2354941412 3532412118 3874258452 7064824236 10008501001 20017002002 30025503003 40034004004 60051006006 120102012012