121460640 has 192 divisors, whose sum is σ = 449535744. Its totient is φ = 26984448.

The previous prime is 121460639. The next prime is 121460653. The reversal of 121460640 is 46064121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121460640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123832 + ... + 124808.

It is an arithmetic number, because the mean of its divisors is an integer number (2341332).

Almost surely, 2^121460640 is an apocalyptic number.

121460640 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 121460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224767872).

121460640 is an abundant number, since it is smaller than the sum of its proper divisors (328075104).

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

121460640 is a wasteful number, since it uses less digits than its factorization.

121460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 121460640 is about 11020.9182920481. The cubic root of 121460640 is about 495.2355984893.

The spelling of 121460640 in words is "one hundred twenty-one million, four hundred sixty thousand, six hundred forty".