121624092 has 120 divisors (see below), whose sum is σ = 349641600. Its totient is φ = 36694944.

The previous prime is 121624091. The next prime is 121624117. The reversal of 121624092 is 290426121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121624091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141159 + ... + 142017.

It is an arithmetic number, because the mean of its divisors is an integer number (2913680).

Almost surely, 2^121624092 is an apocalyptic number.

121624092 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 121624092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174820800).

121624092 is an abundant number, since it is smaller than the sum of its proper divisors (228017508).

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

121624092 is a wasteful number, since it uses less digits than its factorization.

121624092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 121624092 is about 11028.3313334339. The cubic root of 121624092 is about 495.4576483797.

The spelling of 121624092 in words is "one hundred twenty-one million, six hundred twenty-four thousand, ninety-two".