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12371990400 = 2732527211797
BaseRepresentation
bin10111000010110110…
…11001011110000000
31011221020002020020200
423201123121132000
5200314212143100
65403354405200
7615406116600
oct134133313600
934836066220
1012371990400
115279736560
122493430800
13122224a0a3
148551b0c00
154c624ee00
hex2e16d9780

12371990400 has 864 divisors, whose sum is σ = 56092425480. Its totient is φ = 2567577600.

The previous prime is 12371990399. The next prime is 12371990413. The reversal of 12371990400 is 409917321.

12371990400 is a `hidden beast` number, since 1 + 237 + 19 + 9 + 0 + 400 = 666.

It is a super-2 number, since 2×123719904002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15522802 + ... + 15523598.

Almost surely, 212371990400 is an apocalyptic number.

12371990400 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 12371990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28046212740).

12371990400 is an abundant number, since it is smaller than the sum of its proper divisors (43720435080).

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

12371990400 is a wasteful number, since it uses less digits than its factorization.

12371990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12371990400 in words is "twelve billion, three hundred seventy-one million, nine hundred ninety thousand, four hundred".