121433433040 has 320 divisors, whose sum is σ = 324557798400. Its totient is φ = 41977413632.

The previous prime is 121433433019. The next prime is 121433433041. The reversal of 121433433040 is 40334334121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121433433041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238572306 + ... + 238572814.

It is an arithmetic number, because the mean of its divisors is an integer number (1014243120).

Almost surely, 2^121433433040 is an apocalyptic number.

121433433040 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 121433433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162278899200).

121433433040 is an abundant number, since it is smaller than the sum of its proper divisors (203124365360).

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

121433433040 is a wasteful number, since it uses less digits than its factorization.

121433433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 121433433040 its reverse (40334334121), we get a palindrome (161767767161).

The spelling of 121433433040 in words is "one hundred twenty-one billion, four hundred thirty-three million, four hundred thirty-three thousand, forty".