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12012154929918 = 233111321910975741
BaseRepresentation
bin1010111011001100110000…
…1110100100001011111110
31120112100110201201112001000
42232303030032210023332
53033301343130224133
641314150252231130
72346564253140663
oct256631416441376
946470421645030
1012012154929918
113911365335630
12142005246b4a6
1369198398b200
142d756a009a6a
1515c6e5096413
hexaeccc3a42fe

12012154929918 has 384 divisors, whose sum is σ = 33228375206400. Its totient is φ = 3179743257600.

The previous prime is 12012154929911. The next prime is 12012154929967. The reversal of 12012154929918 is 81992945121021.

12012154929918 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 1 + 549 + 2 + 9 + 91 + 8 = 666.

It is a super-2 number, since 2×120121549299182 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012154929911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2092342528 + ... + 2092348268.

It is an arithmetic number, because the mean of its divisors is an integer number (86532227100).

Almost surely, 212012154929918 is an apocalyptic number.

12012154929918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012154929918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614187603200).

12012154929918 is an abundant number, since it is smaller than the sum of its proper divisors (21216220276482).

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

12012154929918 is a wasteful number, since it uses less digits than its factorization.

12012154929918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 12012154929918 in words is "twelve trillion, twelve billion, one hundred fifty-four million, nine hundred twenty-nine thousand, nine hundred eighteen".