121137690240 has 960 divisors, whose sum is σ = 509217096960. Its totient is φ = 27360571392.

The previous prime is 121137690217. The next prime is 121137690253. The reversal of 121137690240 is 42096731121.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121137690195 and 121137690204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 261636249 + ... + 261636711.

It is an arithmetic number, because the mean of its divisors is an integer number (530434476).

Almost surely, 2^121137690240 is an apocalyptic number.

121137690240 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 121137690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254608548480).

121137690240 is an abundant number, since it is smaller than the sum of its proper divisors (388079406720).

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

121137690240 is a wasteful number, since it uses less digits than its factorization.

121137690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 121137690240 in words is "one hundred twenty-one billion, one hundred thirty-seven million, six hundred ninety thousand, two hundred forty".