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12001000020 = 223519591131579
BaseRepresentation
bin10110010110101000…
…01011101001010100
31010222100222222010020
423023110023221110
5144034224000040
65302503025140
7603252550152
oct131324135124
933870888106
1012001000020
1150a9284a39
1223ab13b1b0
131193424a59
1481bbdc3d2
154a38bbcd0
hex2cb50ba54

12001000020 has 192 divisors, whose sum is σ = 36312192000. Its totient is φ = 2952198144.

The previous prime is 12001000003. The next prime is 12001000031. The reversal of 12001000020 is 2000010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 12000999972 and 12001000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7599591 + ... + 7601169.

It is an arithmetic number, because the mean of its divisors is an integer number (189126000).

Almost surely, 212001000020 is an apocalyptic number.

12001000020 is a gapful number since it is divisible by the number (10) 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 12001000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18156096000).

12001000020 is an abundant number, since it is smaller than the sum of its proper divisors (24311191980).

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

12001000020 is a wasteful number, since it uses less digits than its factorization.

12001000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12001000020 its reverse (2000010021), we get a palindrome (14001010041).

The spelling of 12001000020 in words is "twelve billion, one million, twenty", and thus it is an aban number and an uban number.