121170248164 has 96 divisors (see below), whose sum is σ = 257754663936. Its totient is φ = 48755468160.

The previous prime is 121170248161. The next prime is 121170248167. The reversal of 121170248164 is 461842071121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121170248161) and next prime (121170248167).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (121170248161) 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, 3681099 + ... + 3713869.

It is an arithmetic number, because the mean of its divisors is an integer number (2684944416).

Almost surely, 2^121170248164 is an apocalyptic number.

121170248164 is a gapful number since it is divisible by the number (14) 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 121170248164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128877331968).

121170248164 is an abundant number, since it is smaller than the sum of its proper divisors (136584415772).

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

121170248164 is a wasteful number, since it uses less digits than its factorization.

121170248164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32945 (or 32943 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 121170248164 in words is "one hundred twenty-one billion, one hundred seventy million, two hundred forty-eight thousand, one hundred sixty-four".