22121202101220 has 144 divisors (see below), whose sum is σ = 68920494687408. Its totient is φ = 5739057515520.

The previous prime is 22121202101203. The next prime is 22121202101227. The reversal of 22121202101220 is 2210120212122.

It is a happy number.

22121202101220 is a `hidden beast` number, since 2 + 21 + 212 + 0 + 210 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2464623687744 + 19656578413476 = 1569912^2 + 4433574^2 .

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 = 22121202101193 and 22121202101202.

It is not an unprimeable number, because it can be changed into a prime (22121202101227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80028450 + ... + 80304390.

Almost surely, 2^{22121202101220} is an apocalyptic number.

22121202101220 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 22121202101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34460247343704).

22121202101220 is an abundant number, since it is smaller than the sum of its proper divisors (46799292586188).

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

22121202101220 is a wasteful number, since it uses less digits than its factorization.

22121202101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288030 (or 288025 counting only the distinct ones).

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

Adding to 22121202101220 its reverse (2210120212122), we get a palindrome (24331322313342).

The spelling of 22121202101220 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred two million, one hundred one thousand, two hundred twenty".