201212210022120 has 384 divisors, whose sum is σ = 723424545792000. Its totient is φ = 48094228016640.

The previous prime is 201212210022113. The next prime is 201212210022133. The reversal of 201212210022120 is 21220012212102.

It is a happy number.

201212210022120 is a `hidden beast` number, since 2 + 0 + 1 + 212 + 210 + 0 + 221 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201212210022093 and 201212210022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224484687 + ... + 225379233.

It is an arithmetic number, because the mean of its divisors is an integer number (1883918088000).

Almost surely, 2^{201212210022120} is an apocalyptic number.

201212210022120 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 201212210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361712272896000).

201212210022120 is an abundant number, since it is smaller than the sum of its proper divisors (522212335769880).

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

201212210022120 is a wasteful number, since it uses less digits than its factorization.

201212210022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895373 (or 895366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201212210022120 its reverse (21220012212102), we get a palindrome (222432222234222).

The spelling of 201212210022120 in words is "two hundred one trillion, two hundred twelve billion, two hundred ten million, twenty-two thousand, one hundred twenty".