121802472 has 192 divisors, whose sum is σ = 383685120. Its totient is φ = 34848000.

The previous prime is 121802459. The next prime is 121802477. The reversal of 121802472 is 274208121.

121802472 is a `hidden beast` number, since 12 + 180 + 2 + 472 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (121802477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970772 + ... + 2970812.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 2^121802472 is an apocalyptic number.

121802472 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 121802472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191842560).

121802472 is an abundant number, since it is smaller than the sum of its proper divisors (261882648).

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

121802472 is a wasteful number, since it uses less digits than its factorization.

121802472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 121802472 is about 11036.4157225070. The cubic root of 121802472 is about 495.6997510795.

The spelling of 121802472 in words is "one hundred twenty-one million, eight hundred two thousand, four hundred seventy-two".