202202012220120 has 640 divisors, whose sum is σ = 795154032288000. Its totient is φ = 45562528926720.

The previous prime is 202202012220079. The next prime is 202202012220137. The reversal of 202202012220120 is 21022210202202.

202202012220120 is a `hidden beast` number, since 2 + 0 + 220 + 201 + 2 + 220 + 1 + 20 = 666.

It is a super-2 number, since 2×202202012220120² (a number of 29 digits) contains 22 as substring.

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 = 202202012220093 and 202202012220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33072471 + ... + 38706489.

It is an arithmetic number, because the mean of its divisors is an integer number (1242428175450).

Almost surely, 2^{202202012220120} is an apocalyptic number.

202202012220120 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 202202012220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397577016144000).

202202012220120 is an abundant number, since it is smaller than the sum of its proper divisors (592952020067880).

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

202202012220120 is a wasteful number, since it uses less digits than its factorization.

202202012220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634125 (or 5634112 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202202012220120 its reverse (21022210202202), we get a palindrome (223224222422322).

The spelling of 202202012220120 in words is "two hundred two trillion, two hundred two billion, twelve million, two hundred twenty thousand, one hundred twenty".