121186632 has 128 divisors (see below), whose sum is σ = 366796800. Its totient is φ = 32617728.

The previous prime is 121186631. The next prime is 121186661. The reversal of 121186632 is 236681121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121186632.

It is not an unprimeable number, because it can be changed into a prime (121186631) 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, 305058 + ... + 305454.

It is an arithmetic number, because the mean of its divisors is an integer number (2865600).

Almost surely, 2^121186632 is an apocalyptic number.

121186632 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 121186632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183398400).

121186632 is an abundant number, since it is smaller than the sum of its proper divisors (245610168).

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

121186632 is a wasteful number, since it uses less digits than its factorization.

121186632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 121186632 is about 11008.4800040696. The cubic root of 121186632 is about 494.8629107156.

The spelling of 121186632 in words is "one hundred twenty-one million, one hundred eighty-six thousand, six hundred thirty-two".