121345315366000 has 960 divisors, whose sum is σ = 337850911157760. Its totient is φ = 42083712000000.

The previous prime is 121345315365977. The next prime is 121345315366027. The reversal of 121345315366000 is 663513543121.

It is a super-2 number, since 2×121345315366000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98574585385 + ... + 98574586615.

It is an arithmetic number, because the mean of its divisors is an integer number (351928032456).

Almost surely, 2^{121345315366000} is an apocalyptic number.

121345315366000 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 121345315366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168925455578880).

121345315366000 is an abundant number, since it is smaller than the sum of its proper divisors (216505595791760).

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

121345315366000 is a wasteful number, since it uses less digits than its factorization.

121345315366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 121345315366000 in words is "one hundred twenty-one trillion, three hundred forty-five billion, three hundred fifteen million, three hundred sixty-six thousand".