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12200870136 = 23371331307587
BaseRepresentation
bin10110101110011101…
…01000000011111000
31011111022002102101010
423113032220003320
5144441410321021
65334402553520
7611230453650
oct132716500370
934438072333
1012200870136
1151a1089354
1224460688a0
1311c5964bb0
1483a589360
154b61ec976
hex2d73a80f8

12200870136 has 256 divisors, whose sum is σ = 38944604160. Its totient is φ = 3098580480.

The previous prime is 12200870093. The next prime is 12200870137. The reversal of 12200870136 is 63107800221.

12200870136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122008701362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200870137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20784835 + ... + 20785421.

It is an arithmetic number, because the mean of its divisors is an integer number (152127360).

Almost surely, 212200870136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200870136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472302080).

12200870136 is an abundant number, since it is smaller than the sum of its proper divisors (26743734024).

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

12200870136 is a wasteful number, since it uses less digits than its factorization.

12200870136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 12200870136 in words is "twelve billion, two hundred million, eight hundred seventy thousand, one hundred thirty-six".