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12097099696128 = 2113292112331381
BaseRepresentation
bin1011000000001001001101…
…0101001000100000000000
31120211110201200021202002020
42300002103111020200000
53041144330010234003
641421155245321440
72355662256553416
oct260022325104000
946743650252066
1012097099696128
113944395453757
1214345ba266280
136999a0383195
142db7077892b6
1515ea1770ad53
hexb0093548800

12097099696128 has 384 divisors, whose sum is σ = 33689526998400. Its totient is φ = 3855443558400.

The previous prime is 12097099696127. The next prime is 12097099696139. The reversal of 12097099696128 is 82169699079021.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12097099696127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8759665998 + ... + 8759667378.

It is an arithmetic number, because the mean of its divisors is an integer number (87733143225).

Almost surely, 212097099696128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12097099696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844763499200).

12097099696128 is an abundant number, since it is smaller than the sum of its proper divisors (21592427302272).

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

12097099696128 is a wasteful number, since it uses less digits than its factorization.

12097099696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 69.

The spelling of 12097099696128 in words is "twelve trillion, ninety-seven billion, ninety-nine million, six hundred ninety-six thousand, one hundred twenty-eight".