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120102121020 = 22357285957431
BaseRepresentation
bin110111111011010100…
…1001110111000111100
3102111000010022220012110
41233312221032320330
53431432120333040
6131101341134020
711451146120220
oct1576651167074
9374003286173
10120102121020
1146a31575162
121b339b5a310
13b4303c13cb
145b54b2a780
1531cde28980
hex1bf6a4ee3c

120102121020 has 48 divisors (see below), whose sum is σ = 384326788608. Its totient is φ = 27451913280.

The previous prime is 120102120973. The next prime is 120102121037. The reversal of 120102121020 is 20121201021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120102120987 and 120102121005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142978296 + ... + 142979135.

It is an arithmetic number, because the mean of its divisors is an integer number (8006808096).

Almost surely, 2120102121020 is an apocalyptic number.

120102121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102121020 is an abundant number, since it is smaller than the sum of its proper divisors (264224667588).

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

120102121020 is a wasteful number, since it uses less digits than its factorization.

120102121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285957450 (or 285957448 counting only the distinct ones).

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

Adding to 120102121020 its reverse (20121201021), we get a palindrome (140223322041).

The spelling of 120102121020 in words is "one hundred twenty billion, one hundred two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 285957431 571914862 857872293 1143829724 1429787155 1715744586 2001702017 2859574310 3431489172 4003404034 4289361465 5719148620 6005106051 8006808068 8578722930 10008510085 12010212102 17157445860 20017020170 24020424204 30025530255 40034040340 60051060510 120102121020