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12238948800 = 26335213193137
BaseRepresentation
bin10110110010111111…
…11000100111000000
31011120221202000111000
423121133320213000
5200031132330200
65342243052000
7612202230321
oct133137704700
934527660430
1012238948800
115210627421
122456971000
131200808050
1484165c448
154b9720300
hex2d97f89c0

12238948800 has 1344 divisors, whose sum is σ = 53618790400. Its totient is φ = 2687385600.

The previous prime is 12238948789. The next prime is 12238948879. The reversal of 12238948800 is 884983221.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 330782382 + ... + 330782418.

Almost surely, 212238948800 is an apocalyptic number.

12238948800 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 12238948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26809395200).

12238948800 is an abundant number, since it is smaller than the sum of its proper divisors (41379841600).

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

12238948800 is a wasteful number, since it uses less digits than its factorization.

12238948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12238948800 in words is "twelve billion, two hundred thirty-eight million, nine hundred forty-eight thousand, eight hundred".