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1020102120012 = 223731379838647
BaseRepresentation
bin11101101100000101101…
…00110001001001001100
310121112001200002221001110
432312002310301021030
5113203132120320022
62100343424412020
7133462036644633
oct16660264611114
93545050087043
101020102120012
11363694064218
12145852177010
137526cb79c01
143753211251a
151b80645500c
hexed82d3124c

1020102120012 has 96 divisors (see below), whose sum is σ = 2433210135552. Its totient is φ = 332550890496.

The previous prime is 1020102119989. The next prime is 1020102120041. The reversal of 1020102120012 is 2100212010201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020102120012.

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, 117967473 + ... + 117976119.

It is an arithmetic number, because the mean of its divisors is an integer number (25345938912).

Almost surely, 21020102120012 is an apocalyptic number.

1020102120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020102120012 is an abundant number, since it is smaller than the sum of its proper divisors (1413108015540).

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

1020102120012 is a wasteful number, since it uses less digits than its factorization.

1020102120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9847 (or 9845 counting only the distinct ones).

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

Adding to 1020102120012 its reverse (2100212010201), we get a palindrome (3120314130213).

The spelling of 1020102120012 in words is "one trillion, twenty billion, one hundred two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 73 137 146 219 274 292 411 438 548 822 876 983 1644 1966 2949 3932 5898 8647 10001 11796 17294 20002 25941 30003 34588 40004 51882 60006 71759 103764 120012 134671 143518 215277 269342 287036 404013 430554 538684 631231 808026 861108 1184639 1262462 1616052 1893693 2369278 2524924 3553917 3787386 4738556 7107834 7574772 8500001 9830983 14215668 17000002 19661966 25500003 29492949 34000004 39323932 51000006 58985898 86478647 102000012 117971796 172957294 259435941 345914588 518871882 620500073 1037743764 1164500137 1241000146 1861500219 2329000274 2482000292 3493500411 3723000438 4658000548 6987000822 7446000876 13974001644 85008510001 170017020002 255025530003 340034040004 510051060006 1020102120012