121261032 has 96 divisors (see below), whose sum is σ = 342856800. Its totient is φ = 38683008.

The previous prime is 121261031. The next prime is 121261033. The reversal of 121261032 is 230162121.

121261032 is a `hidden beast` number, since 1 + 21 + 2 + 610 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (121261031) and next prime (121261033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121260996 and 121261014.

It is not an unprimeable number, because it can be changed into a prime (121261031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163719 + ... + 164457.

It is an arithmetic number, because the mean of its divisors is an integer number (3571425).

Almost surely, 2^121261032 is an apocalyptic number.

121261032 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 121261032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171428400).

121261032 is an abundant number, since it is smaller than the sum of its proper divisors (221595768).

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

121261032 is a wasteful number, since it uses less digits than its factorization.

121261032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121261032 is about 11011.8586986939. The cubic root of 121261032 is about 494.9641602457.

The spelling of 121261032 in words is "one hundred twenty-one million, two hundred sixty-one thousand, thirty-two".