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232300121200 = 245272431012729
BaseRepresentation
bin1101100001011000101…
…0101000110001110000
3211012121101122211222121
43120112022220301300
512301222312334300
6254414525444024
722532420310400
oct3302612506160
9735541584877
10232300121200
118a5773a9344
1239030a10614
1318ba109c624
14b359bca800
156098e9581a
hex36162a8c70

232300121200 has 360 divisors, whose sum is σ = 671140950480. Its totient is φ = 76995072000.

The previous prime is 232300121197. The next prime is 232300121213. The reversal of 232300121200 is 2121003232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85121436 + ... + 85124164.

It is an arithmetic number, because the mean of its divisors is an integer number (1864280418).

Almost surely, 2232300121200 is an apocalyptic number.

232300121200 is a gapful number since it is divisible by the number (20) 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 232300121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335570475240).

232300121200 is an abundant number, since it is smaller than the sum of its proper divisors (438840829280).

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

232300121200 is a wasteful number, since it uses less digits than its factorization.

232300121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 232300121200 its reverse (2121003232), we get a palindrome (234421124432).

The spelling of 232300121200 in words is "two hundred thirty-two billion, three hundred million, one hundred twenty-one thousand, two hundred".