121880640 has 168 divisors, whose sum is σ = 450323712. Its totient is φ = 27847680.

The previous prime is 121880617. The next prime is 121880651. The reversal of 121880640 is 46088121.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121880598 and 121880607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45745 + ... + 48335.

Almost surely, 2^121880640 is an apocalyptic number.

121880640 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 121880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225161856).

121880640 is an abundant number, since it is smaller than the sum of its proper divisors (328443072).

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

121880640 is a wasteful number, since it uses less digits than its factorization.

121880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 121880640 is about 11039.9565216535. The cubic root of 121880640 is about 495.8057685561.

The spelling of 121880640 in words is "one hundred twenty-one million, eight hundred eighty thousand, six hundred forty".