121861439977200 has 2880 divisors, whose sum is σ = 534306602188800. Its totient is φ = 23403031142400.

The previous prime is 121861439977183. The next prime is 121861439977201. The reversal of 121861439977200 is 2779934168121.

It is a super-3 number, since 3×121861439977200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121861439977201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 145246054381 + ... + 145246055219.

It is an arithmetic number, because the mean of its divisors is an integer number (185523125760).

Almost surely, 2^{121861439977200} is an apocalyptic number.

121861439977200 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 121861439977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267153301094400).

121861439977200 is an abundant number, since it is smaller than the sum of its proper divisors (412445162211600).

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

121861439977200 is a wasteful number, since it uses less digits than its factorization.

121861439977200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 121861439977200 in words is "one hundred twenty-one trillion, eight hundred sixty-one billion, four hundred thirty-nine million, nine hundred seventy-seven thousand, two hundred".