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1012020000012 = 2232721723164037
BaseRepresentation
bin11101011101000010001…
…01111011010100001100
310120202012102011200200200
432232201011323110030
5113040104110000022
62052525432453500
7133054541031600
oct16564105732414
93522172150620
101012020000012
113602169a78aa
1214417754a290
1374582613798
1436da698d500
151b4d1b37bac
hexeba117b50c

1012020000012 has 324 divisors, whose sum is σ = 3263190001344. Its totient is φ = 263357015040.

The previous prime is 1012019999989. The next prime is 1012020000023. The reversal of 1012020000012 is 2100000202101.

1012020000012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012019999949 and 1012020000003.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15771658 + ... + 15835694.

Almost surely, 21012020000012 is an apocalyptic number.

1012020000012 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 1012020000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631595000672).

1012020000012 is an abundant number, since it is smaller than the sum of its proper divisors (2251170001332).

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

1012020000012 is a wasteful number, since it uses less digits than its factorization.

1012020000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64126 (or 64097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012020000012 its reverse (2100000202101), we get a palindrome (3112020202113).

The spelling of 1012020000012 in words is "one trillion, twelve billion, twenty million, twelve", and thus it is an aban number and an uban number.