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12153532000 = 255367101449
BaseRepresentation
bin10110101000110100…
…00010111001100000
31011101000000101122211
423110122002321200
5144342301011000
65325552211504
7610114213621
oct132432027140
934330011584
1012153532000
115177396525
122432239b94
1311b8bcc26c
14834185a48
154b1e9b7ba
hex2d4682e60

12153532000 has 192 divisors, whose sum is σ = 30675153600. Its totient is φ = 4730880000.

The previous prime is 12153531979. The next prime is 12153532009. The reversal of 12153532000 is 23535121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153532009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27067776 + ... + 27068224.

It is an arithmetic number, because the mean of its divisors is an integer number (159766425).

Almost surely, 212153532000 is an apocalyptic number.

12153532000 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 12153532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337576800).

12153532000 is an abundant number, since it is smaller than the sum of its proper divisors (18521621600).

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

12153532000 is a wasteful number, since it uses less digits than its factorization.

12153532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 12153532000 in words is "twelve billion, one hundred fifty-three million, five hundred thirty-two thousand".