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12320031220200 = 233352111941926053
BaseRepresentation
bin1011001101000111101100…
…0101011010000111101000
31121121210011011021112212000
42303101323011122013220
53103322410443021300
642111424425451000
72411043600341634
oct263217305320750
947553134245760
1012320031220200
113a1a994494340
12146b855640a60
136b4a0a5075c2
14308415211dc4
15165713e65c00
hexb347b15a1e8

12320031220200 has 768 divisors, whose sum is σ = 48848123520000. Its totient is φ = 2822619571200.

The previous prime is 12320031220193. The next prime is 12320031220201. The reversal of 12320031220200 is 202213002321.

12320031220200 is a `hidden beast` number, since 12 + 3 + 200 + 31 + 220 + 200 = 666.

12320031220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12320031220201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472870374 + ... + 472896426.

It is an arithmetic number, because the mean of its divisors is an integer number (63604327500).

Almost surely, 212320031220200 is an apocalyptic number.

12320031220200 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 12320031220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24424061760000).

12320031220200 is an abundant number, since it is smaller than the sum of its proper divisors (36528092299800).

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

12320031220200 is a wasteful number, since it uses less digits than its factorization.

12320031220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26527 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12320031220200 its reverse (202213002321), we get a palindrome (12522244222521).

The spelling of 12320031220200 in words is "twelve trillion, three hundred twenty billion, thirty-one million, two hundred twenty thousand, two hundred".