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13012120200 = 23352292107241
BaseRepresentation
bin11000001111001010…
…10011001010001000
31020120211121012020210
430013211103022020
5203122100321300
65551102521120
7640311124332
oct140745231210
936524535223
1013012120200
115578003552
1226318961a0
1312c4a56611
148b6202452
15512548050
hex307953288

13012120200 has 288 divisors, whose sum is σ = 42341888160. Its totient is φ = 3305164800.

The previous prime is 13012120159. The next prime is 13012120201. The reversal of 13012120200 is 202121031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13012120201) 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, 53992080 + ... + 53992320.

It is an arithmetic number, because the mean of its divisors is an integer number (147020445).

Almost surely, 213012120200 is an apocalyptic number.

13012120200 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 13012120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170944080).

13012120200 is an abundant number, since it is smaller than the sum of its proper divisors (29329767960).

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

13012120200 is a wasteful number, since it uses less digits than its factorization.

13012120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13012120200 its reverse (202121031), we get a palindrome (13214241231).

The spelling of 13012120200 in words is "thirteen billion, twelve million, one hundred twenty thousand, two hundred".