121702008960 has 384 divisors, whose sum is σ = 489358920960. Its totient is φ = 27292262400.

The previous prime is 121702008959. The next prime is 121702008991. The reversal of 121702008960 is 69800207121.

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

It is a super-2 number, since 2×121702008960² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2108485 + ... + 2165435.

It is an arithmetic number, because the mean of its divisors is an integer number (1274372190).

Almost surely, 2^121702008960 is an apocalyptic number.

121702008960 is a gapful number since it is divisible by the number (10) 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 121702008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244679460480).

121702008960 is an abundant number, since it is smaller than the sum of its proper divisors (367656912000).

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

121702008960 is a wasteful number, since it uses less digits than its factorization.

121702008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57036 (or 57021 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 121702008960 in words is "one hundred twenty-one billion, seven hundred two million, eight thousand, nine hundred sixty".