121469289120 has 1152 divisors, whose sum is σ = 490149273600. Its totient is φ = 27951796224.

The previous prime is 121469289061. The next prime is 121469289187. The reversal of 121469289120 is 21982964121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2584452937 + ... + 2584452983.

It is an arithmetic number, because the mean of its divisors is an integer number (425476800).

Almost surely, 2^121469289120 is an apocalyptic number.

121469289120 is a gapful number since it is divisible by the number (10) 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 121469289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245074636800).

121469289120 is an abundant number, since it is smaller than the sum of its proper divisors (368679984480).

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

121469289120 is a wasteful number, since it uses less digits than its factorization.

121469289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 121469289120 in words is "one hundred twenty-one billion, four hundred sixty-nine million, two hundred eighty-nine thousand, one hundred twenty".