121415033440 has 96 divisors (see below), whose sum is σ = 289258560864. Its totient is φ = 48157839360.

The previous prime is 121415033417. The next prime is 121415033459. The reversal of 121415033440 is 44330514121.

It is a super-2 number, since 2×121415033440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121415033399 and 121415033408.

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, 23912182 + ... + 23917258.

It is an arithmetic number, because the mean of its divisors is an integer number (3013110009).

Almost surely, 2^121415033440 is an apocalyptic number.

121415033440 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 121415033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144629280432).

121415033440 is an abundant number, since it is smaller than the sum of its proper divisors (167843527424).

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

121415033440 is a wasteful number, since it uses less digits than its factorization.

121415033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 121415033440 its reverse (44330514121), we get a palindrome (165745547561).

The spelling of 121415033440 in words is "one hundred twenty-one billion, four hundred fifteen million, thirty-three thousand, four hundred forty".