121965480 has 512 divisors, whose sum is σ = 537062400. Its totient is φ = 23887872.

The previous prime is 121965457. The next prime is 121965491. The reversal of 121965480 is 84569121.

121965480 is a `hidden beast` number, since 1 + 21 + 96 + 548 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1670724 + ... + 1670796.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^121965480 is an apocalyptic number.

121965480 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 121965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268531200).

121965480 is an abundant number, since it is smaller than the sum of its proper divisors (415096920).

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

121965480 is a wasteful number, since it uses less digits than its factorization.

121965480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121965480 is about 11043.7982596569. The cubic root of 121965480 is about 495.9207838284.

The spelling of 121965480 in words is "one hundred twenty-one million, nine hundred sixty-five thousand, four hundred eighty".