121965620 has 48 divisors (see below), whose sum is σ = 294900480. Its totient is φ = 41505024.

The previous prime is 121965601. The next prime is 121965631. The reversal of 121965620 is 26569121.

It is a happy number.

It is a super-2 number, since 2×121965620² = 29751224923968800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16001 + ... + 22359.

It is an arithmetic number, because the mean of its divisors is an integer number (6143760).

Almost surely, 2^121965620 is an apocalyptic number.

121965620 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 121965620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147450240).

121965620 is an abundant number, since it is smaller than the sum of its proper divisors (172934860).

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

121965620 is a wasteful number, since it uses less digits than its factorization.

121965620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 121965620 is about 11043.8045980541. The cubic root of 121965620 is about 495.9209735785.

The spelling of 121965620 in words is "one hundred twenty-one million, nine hundred sixty-five thousand, six hundred twenty".