121450013351140 has 96 divisors (see below), whose sum is σ = 271817295009120. Its totient is φ = 45422846337024.

The previous prime is 121450013351071. The next prime is 121450013351141. The reversal of 121450013351140 is 41153310054121.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 10239321611236 + 111210691739904 = 3199894^2 + 10545648^2 .

It is not an unprimeable number, because it can be changed into a prime (121450013351141) 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, 296427946 + ... + 296837374.

It is an arithmetic number, because the mean of its divisors is an integer number (2831430156345).

Almost surely, 2^{121450013351140} is an apocalyptic number.

121450013351140 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 121450013351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135908647504560).

121450013351140 is an abundant number, since it is smaller than the sum of its proper divisors (150367281657980).

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

121450013351140 is a wasteful number, since it uses less digits than its factorization.

121450013351140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415169 (or 415167 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 121450013351140 in words is "one hundred twenty-one trillion, four hundred fifty billion, thirteen million, three hundred fifty-one thousand, one hundred forty".