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12035018076081 = 37111331237269419
BaseRepresentation
bin1010111100100001111011…
…1110100010111110110001
31120121112111002202200110020
42233020132332202332301
53034140204111413311
641332451100554053
72351333652522540
oct257103676427661
946545432680406
1012035018076081
113920027a51750
121424573252929
13693b885a2070
142d86d8672157
1515d0d2371c06
hexaf21efa2fb1

12035018076081 has 384 divisors, whose sum is σ = 23004095385600. Its totient is φ = 5400811468800.

The previous prime is 12035018076071. The next prime is 12035018076131. The reversal of 12035018076081 is 18067081053021.

It is not a de Polignac number, because 12035018076081 - 25 = 12035018076049 is a prime.

It is a super-2 number, since 2×120350180760812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12035018076071) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28723193290 + ... + 28723193708.

It is an arithmetic number, because the mean of its divisors is an integer number (59906498400).

Almost surely, 212035018076081 is an apocalyptic number.

12035018076081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12035018076081 is a deficient number, since it is larger than the sum of its proper divisors (10969077309519).

12035018076081 is a wasteful number, since it uses less digits than its factorization.

12035018076081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 12035018076081 in words is "twelve trillion, thirty-five billion, eighteen million, seventy-six thousand, eighty-one".