121362192 has 160 divisors (see below), whose sum is σ = 404736000. Its totient is φ = 34100352.

The previous prime is 121362181. The next prime is 121362193. The reversal of 121362192 is 291263121.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121362193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202309 + ... + 202907.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2^121362192 is an apocalyptic number.

121362192 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 121362192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368000).

121362192 is an abundant number, since it is smaller than the sum of its proper divisors (283373808).

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

121362192 is a wasteful number, since it uses less digits than its factorization.

121362192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 121362192 is about 11016.4509711613. The cubic root of 121362192 is about 495.1017605298.

The spelling of 121362192 in words is "one hundred twenty-one million, three hundred sixty-two thousand, one hundred ninety-two".