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12940200 = 23325271379
BaseRepresentation
bin110001010111…
…001110101000
3220100102121200
4301113032220
511303041300
61141204200
7214663350
oct61271650
926312550
1012940200
117339189
124400660
1328b0c30
141a0bb60
151209200
hexc573a8

12940200 has 288 divisors, whose sum is σ = 54163200. Its totient is φ = 2695680.

The previous prime is 12940183. The next prime is 12940201. The reversal of 12940200 is 204921.

12940200 is digitally balanced in base 2 and base 4, because in such bases 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 (12940201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163761 + ... + 163839.

Almost surely, 212940200 is an apocalyptic number.

12940200 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 12940200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081600).

12940200 is an abundant number, since it is smaller than the sum of its proper divisors (41223000).

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

12940200 is a wasteful number, since it uses less digits than its factorization.

12940200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12940200 is about 3597.2489488497. The cubic root of 12940200 is about 234.7723765446.

The spelling of 12940200 in words is "twelve million, nine hundred forty thousand, two hundred".