121479160320 has 1120 divisors, whose sum is σ = 529407508608. Its totient is φ = 26085556224.

The previous prime is 121479160301. The next prime is 121479160339. The reversal of 121479160320 is 23061974121.

121479160320 is a `hidden beast` number, since 1 + 2 + 1 + 47 + 9 + 1 + 603 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121479160301) and next prime (121479160339).

It is a tau number, because it is divible by the number of its divisors (1120).

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 (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 222082287 + ... + 222082833.

Almost surely, 2^121479160320 is an apocalyptic number.

121479160320 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 121479160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264703754304).

121479160320 is an abundant number, since it is smaller than the sum of its proper divisors (407928348288).

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

121479160320 is an frugal number, since it uses more digits than its factorization.

121479160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 121479160320 in words is "one hundred twenty-one billion, four hundred seventy-nine million, one hundred sixty thousand, three hundred twenty".