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12532400000000 = 21058171997
BaseRepresentation
bin1011011001011110110101…
…0000000000110000000000
31122101002022111121100110222
42312113231100000300000
53120312323400000000
642353145521442212
72432302361234306
oct266275520006000
948332274540428
1012532400000000
113aa1a63098901
1214a4a434a0368
136cba531bb39a
143147ddcaa276
1516aee3203a85
hexb65ed400c00

12532400000000 has 792 divisors, whose sum is σ = 35262755382960. Its totient is φ = 4423680000000.

The previous prime is 12532399999969. The next prime is 12532400000137. The reversal of 12532400000000 is 423521.

It is a super-2 number, since 2×125324000000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129199999952 + ... + 129200000048.

Almost surely, 212532400000000 is an apocalyptic number.

12532400000000 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 12532400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631377691480).

12532400000000 is an abundant number, since it is smaller than the sum of its proper divisors (22730355382960).

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

12532400000000 is an frugal number, since it uses more digits than its factorization.

12532400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 12532400000000 its reverse (423521), we get a palindrome (12532400423521).

The spelling of 12532400000000 in words is "twelve trillion, five hundred thirty-two billion, four hundred million", and thus it is an aban number.