202012111211220 has 336 divisors, whose sum is σ = 637207759413120. Its totient is φ = 53771688518400.

The previous prime is 202012111211149. The next prime is 202012111211233. The reversal of 202012111211220 is 22112111210202.

202012111211220 is a `hidden beast` number, since 2 + 0 + 20 + 1 + 211 + 1 + 211 + 220 = 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 = 202012111211193 and 202012111211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24306590865 + ... + 24306599175.

It is an arithmetic number, because the mean of its divisors is an integer number (1896451664920).

Almost surely, 2^{202012111211220} is an apocalyptic number.

202012111211220 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 202012111211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318603879706560).

202012111211220 is an abundant number, since it is smaller than the sum of its proper divisors (435195648201900).

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

202012111211220 is a wasteful number, since it uses less digits than its factorization.

202012111211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202012111211220 its reverse (22112111210202), we get a palindrome (224124222421422).

The spelling of 202012111211220 in words is "two hundred two trillion, twelve billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty".