121086144 has 112 divisors (see below), whose sum is σ = 360883200. Its totient is φ = 39806208.

The previous prime is 121086143. The next prime is 121086149. The reversal of 121086144 is 441680121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (121086143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136069 + ... + 136955.

Almost surely, 2^121086144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180441600).

121086144 is an abundant number, since it is smaller than the sum of its proper divisors (239797056).

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

121086144 is an equidigital number, since it uses as much as digits as its factorization.

121086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121086144 is about 11003.9149396931. The cubic root of 121086144 is about 494.7260927227.

The spelling of 121086144 in words is "one hundred twenty-one million, eighty-six thousand, one hundred forty-four".