202022002212030 has 768 divisors, whose sum is σ = 715418872197120. Its totient is φ = 38194019942400.

The previous prime is 202022002212001. The next prime is 202022002212049. The reversal of 202022002212030 is 30212200220202.

202022002212030 is a `hidden beast` number, since 2 + 0 + 20 + 220 + 0 + 221 + 203 + 0 = 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 = 202022002211994 and 202022002212012.

It is a congruent number.

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, 1842555951 + ... + 1842665589.

It is an arithmetic number, because the mean of its divisors is an integer number (931534989840).

Almost surely, 2^{202022002212030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202022002212030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357709436098560).

202022002212030 is an abundant number, since it is smaller than the sum of its proper divisors (513396869985090).

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

202022002212030 is a wasteful number, since it uses less digits than its factorization.

202022002212030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109977 (or 109974 counting only the distinct ones).

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

Adding to 202022002212030 its reverse (30212200220202), we get a palindrome (232234202432232).

The spelling of 202022002212030 in words is "two hundred two trillion, twenty-two billion, two million, two hundred twelve thousand, thirty".