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12372810000 = 24354834969
BaseRepresentation
bin10111000010111101…
…00001100100010000
31011221021121212112020
423201132201210100
5200314414410000
65403424131440
7615416102235
oct134136414420
934837555466
1012372810000
11527a146311
122493766b80
131222476165
1485534578c
154c6362ba0
hex2e17a1910

12372810000 has 200 divisors, whose sum is σ = 40430433120. Its totient is φ = 3259008000.

The previous prime is 12372809963. The next prime is 12372810029. The reversal of 12372810000 is 1827321.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×123728100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2487516 + ... + 2492484.

Almost surely, 212372810000 is an apocalyptic number.

12372810000 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 12372810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215216560).

12372810000 is an abundant number, since it is smaller than the sum of its proper divisors (28057623120).

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

12372810000 is an equidigital number, since it uses as much as digits as its factorization.

12372810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 12372810000 in words is "twelve billion, three hundred seventy-two million, eight hundred ten thousand".