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12990020160 = 2635134153479
BaseRepresentation
bin11000001100100001…
…11111101001000000
31020112022000101200210
430012100333221000
5203100421121120
65544553114120
7636622230615
oct140620775100
936468011623
1012990020160
115566589457
1226263b8940
1312c02b9380
148b32cc50c
1551062ece0
hex30643fa40

12990020160 has 448 divisors, whose sum is σ = 46454446080. Its totient is φ = 3054305280.

The previous prime is 12990020081. The next prime is 12990020171. The reversal of 12990020160 is 6102009921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27118801 + ... + 27119279.

It is an arithmetic number, because the mean of its divisors is an integer number (103692960).

Almost surely, 212990020160 is an apocalyptic number.

12990020160 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 12990020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227223040).

12990020160 is an abundant number, since it is smaller than the sum of its proper divisors (33464425920).

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

12990020160 is a wasteful number, since it uses less digits than its factorization.

12990020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 12990020160 in words is "twelve billion, nine hundred ninety million, twenty thousand, one hundred sixty".