121292170560 has 1008 divisors, whose sum is σ = 490075971840. Its totient is φ = 27261911040.

The previous prime is 121292170541. The next prime is 121292170583. The reversal of 121292170560 is 65071292121.

121292170560 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 9 + 21 + 70 + 560 = 666.

It is a super-2 number, since 2×121292170560² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2288531494 + ... + 2288531546.

It is an arithmetic number, because the mean of its divisors is an integer number (486186480).

Almost surely, 2^121292170560 is an apocalyptic number.

121292170560 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 121292170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245037985920).

121292170560 is an abundant number, since it is smaller than the sum of its proper divisors (368783801280).

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

121292170560 is a wasteful number, since it uses less digits than its factorization.

121292170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 121292170560 in words is "one hundred twenty-one billion, two hundred ninety-two million, one hundred seventy thousand, five hundred sixty".