122061792 has 48 divisors (see below), whose sum is σ = 324293760. Its totient is φ = 40194432.

The previous prime is 122061769. The next prime is 122061799. The reversal of 122061792 is 297160221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122061799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 15627.

It is an arithmetic number, because the mean of its divisors is an integer number (6756120).

Almost surely, 2^122061792 is an apocalyptic number.

122061792 is a gapful number since it is divisible by the number (12) 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 122061792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162146880).

122061792 is an abundant number, since it is smaller than the sum of its proper divisors (202231968).

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

122061792 is a wasteful number, since it uses less digits than its factorization.

122061792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15415 (or 15407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 122061792 is about 11048.1578554979. The cubic root of 122061792 is about 496.0512867536.

The spelling of 122061792 in words is "one hundred twenty-two million, sixty-one thousand, seven hundred ninety-two".