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12498048000 = 210325319571
BaseRepresentation
bin10111010001111000…
…10001010000000000
31012021000021121202200
423220330101100000
5201044000014000
65424100313200
7621466440504
oct135074212000
935230247680
1012498048000
115333905499
1225096a2800
1312423b5299
14867c26304
154d2350500
hex2e8f11400

12498048000 has 528 divisors, whose sum is σ = 47491055040. Its totient is φ = 3151872000.

The previous prime is 12498047987. The next prime is 12498048007. The reversal of 12498048000 is 84089421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12498048007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21887715 + ... + 21888285.

It is an arithmetic number, because the mean of its divisors is an integer number (89945180).

Almost surely, 212498048000 is an apocalyptic number.

12498048000 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 12498048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745527520).

12498048000 is an abundant number, since it is smaller than the sum of its proper divisors (34993007040).

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

12498048000 is a wasteful number, since it uses less digits than its factorization.

12498048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12498048000 in words is "twelve billion, four hundred ninety-eight million, forty-eight thousand".