202211120121012 has 288 divisors, whose sum is σ = 531925073971200. Its totient is φ = 64717408014336.

The previous prime is 202211120121011. The next prime is 202211120121013. The reversal of 202211120121012 is 210121021112202.

202211120121012 is a `hidden beast` number, since 20 + 221 + 1 + 1 + 201 + 210 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (202211120121011) and next prime (202211120121013).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202211120121011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48620127789 + ... + 48620131947.

It is an arithmetic number, because the mean of its divisors is an integer number (1846962062400).

Almost surely, 2^{202211120121012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202211120121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265962536985600).

202211120121012 is an abundant number, since it is smaller than the sum of its proper divisors (329713953850188).

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

202211120121012 is a wasteful number, since it uses less digits than its factorization.

202211120121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5650 counting only the distinct ones).

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

Adding to 202211120121012 its reverse (210121021112202), we get a palindrome (412332141233214).

The spelling of 202211120121012 in words is "two hundred two trillion, two hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, twelve".