233261073120 has 192 divisors, whose sum is σ = 760706795520. Its totient is φ = 60010825728.

The previous prime is 233261073109. The next prime is 233261073197. The reversal of 233261073120 is 21370162332.

233261073120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19857969 + ... + 19869711.

It is an arithmetic number, because the mean of its divisors is an integer number (3962014560).

Almost surely, 2^233261073120 is an apocalyptic number.

233261073120 is a gapful number since it is divisible by the number (20) 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 233261073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380353397760).

233261073120 is an abundant number, since it is smaller than the sum of its proper divisors (527445722400).

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

233261073120 is a wasteful number, since it uses less digits than its factorization.

233261073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13217 (or 13209 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 233261073120 in words is "two hundred thirty-three billion, two hundred sixty-one million, seventy-three thousand, one hundred twenty".