122065632 has 72 divisors (see below), whose sum is σ = 373837464. Its totient is φ = 37557504.

The previous prime is 122065621. The next prime is 122065637. The reversal of 122065632 is 236560221.

122065632 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 656 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 122065596 and 122065605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122065637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12558 + ... + 20045.

It is an arithmetic number, because the mean of its divisors is an integer number (5192187).

Almost surely, 2^122065632 is an apocalyptic number.

122065632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122065632 is an abundant number, since it is smaller than the sum of its proper divisors (251771832).

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

122065632 is a wasteful number, since it uses less digits than its factorization.

122065632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32632 (or 32621 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 122065632 is about 11048.3316387589. The cubic root of 122065632 is about 496.0564885369.

The spelling of 122065632 in words is "one hundred twenty-two million, sixty-five thousand, six hundred thirty-two".