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12012020032194 = 2337134783626621
BaseRepresentation
bin1010111011001100010000…
…1011111110001011000010
31120112100010022220000011000
42232303010023332023002
53033301104112012234
641314125033032430
72346561024421110
oct256630413761302
946470108800130
1012012020032194
1139112a6178a06
121420015255716
13691961a49380
142d7556132ab0
1515c6d82eb899
hexaecc42fe2c2

12012020032194 has 256 divisors, whose sum is σ = 33956696309760. Its totient is φ = 3063239389440.

The previous prime is 12012020032171. The next prime is 12012020032219. The reversal of 12012020032194 is 49123002021021.

12012020032194 is a `hidden beast` number, since 12 + 0 + 120 + 200 + 321 + 9 + 4 = 666.

12012020032194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18856204 + ... + 19482824.

It is an arithmetic number, because the mean of its divisors is an integer number (132643344960).

Almost surely, 212012020032194 is an apocalyptic number.

12012020032194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012020032194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978348154880).

12012020032194 is an abundant number, since it is smaller than the sum of its proper divisors (21944676277566).

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

12012020032194 is a wasteful number, since it uses less digits than its factorization.

12012020032194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626782 (or 626776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12012020032194 in words is "twelve trillion, twelve billion, twenty million, thirty-two thousand, one hundred ninety-four".