230212022202000 has 240 divisors, whose sum is σ = 825785043902832. Its totient is φ = 59730686668800.

The previous prime is 230212022201999. The next prime is 230212022202067. The reversal of 230212022202000 is 202220212032.

230212022202000 is a `hidden beast` number, since 2 + 30 + 212 + 0 + 2 + 220 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3988680336 + 230208033521664 = 63156^2 + 15172608^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172165849 + ... + 173497848.

Almost surely, 2^{230212022202000} is an apocalyptic number.

230212022202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230212022202000 is an abundant number, since it is smaller than the sum of its proper divisors (595573021700832).

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

230212022202000 is a wasteful number, since it uses less digits than its factorization.

230212022202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345663763 (or 345663744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 230212022202000 its reverse (202220212032), we get a palindrome (230414242414032).

The spelling of 230212022202000 in words is "two hundred thirty trillion, two hundred twelve billion, twenty-two million, two hundred two thousand".