Search a number
-
+
12015421830720 = 2634571137162709
BaseRepresentation
bin1010111011011000111011…
…1100110011011001000000
31120112122220101222021110000
42232312032330303121000
53033330040442040340
641315450353240000
72350041232266060
oct256661674633100
946478811867400
1012015421830720
113912791422550
121420804563000
136920847519c9
142d7799c4b3a0
1515c836cabd30
hexaed8ef33640

12015421830720 has 1120 divisors, whose sum is σ = 54727979708160. Its totient is φ = 2429217423360.

The previous prime is 12015421830697. The next prime is 12015421830733. The reversal of 12015421830720 is 2703812451021.

12015421830720 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 542 + 18 + 30 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73764726 + ... + 73927434.

Almost surely, 212015421830720 is an apocalyptic number.

12015421830720 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 12015421830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363989854080).

12015421830720 is an abundant number, since it is smaller than the sum of its proper divisors (42712557877440).

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

12015421830720 is a wasteful number, since it uses less digits than its factorization.

12015421830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162793 (or 162774 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12015421830720 in words is "twelve trillion, fifteen billion, four hundred twenty-one million, eight hundred thirty thousand, seven hundred twenty".