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121106875032 = 2333111321092767
BaseRepresentation
bin111000011001010001…
…0000100001010011000
3102120121010221200121000
41300302202010022120
53441011330000112
6131345152345000
711515066311213
oct1606242041230
9376533850530
10121106875032
11473a7745780
121b57a545160
13b560604400
145c0c35477a
15323c2487dc
hex1c32884298

121106875032 has 384 divisors, whose sum is σ = 401182848000. Its totient is φ = 33553128960.

The previous prime is 121106874983. The next prime is 121106875073. The reversal of 121106875032 is 230578601121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43766913 + ... + 43769679.

It is an arithmetic number, because the mean of its divisors is an integer number (1044747000).

Almost surely, 2121106875032 is an apocalyptic number.

121106875032 is a gapful number since it is divisible by the number (12) 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 121106875032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200591424000).

121106875032 is an abundant number, since it is smaller than the sum of its proper divisors (280075972968).

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

121106875032 is a wasteful number, since it uses less digits than its factorization.

121106875032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 121106875032 in words is "one hundred twenty-one billion, one hundred six million, eight hundred seventy-five thousand, thirty-two".