121442764120 has 64 divisors (see below), whose sum is σ = 282847334400. Its totient is φ = 46878983040.

The previous prime is 121442764111. The next prime is 121442764159. The reversal of 121442764120 is 21467244121.

It is a super-3 number, since 3×121442764120³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308757 + ... + 581563.

It is an arithmetic number, because the mean of its divisors is an integer number (4419489600).

Almost surely, 2^121442764120 is an apocalyptic number.

121442764120 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 121442764120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141423667200).

121442764120 is an abundant number, since it is smaller than the sum of its proper divisors (161404570280).

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

121442764120 is a wasteful number, since it uses less digits than its factorization.

121442764120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273208 (or 273204 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 121442764120 in words is "one hundred twenty-one billion, four hundred forty-two million, seven hundred sixty-four thousand, one hundred twenty".