230018892090120 has 1536 divisors, whose sum is σ = 923908737024000. Its totient is φ = 51428693062656.

The previous prime is 230018892090007. The next prime is 230018892090131. The reversal of 230018892090120 is 21090298810032.

It is a happy number.

230018892090120 is a `hidden beast` number, since 2 + 300 + 18 + 8 + 9 + 209 + 0 + 120 = 666.

It is a super-2 number, since 2×230018892090120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64848854187 + ... + 64848857733.

It is an arithmetic number, because the mean of its divisors is an integer number (601503084000).

Almost surely, 2^{230018892090120} is an apocalyptic number.

230018892090120 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 230018892090120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461954368512000).

230018892090120 is an abundant number, since it is smaller than the sum of its proper divisors (693889844933880).

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

230018892090120 is a wasteful number, since it uses less digits than its factorization.

230018892090120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 230018892090120 in words is "two hundred thirty trillion, eighteen billion, eight hundred ninety-two million, ninety thousand, one hundred twenty".