22120314100240 has 40 divisors (see below), whose sum is σ = 51454587956760. Its totient is φ = 8843849051136.

The previous prime is 22120314100237. The next prime is 22120314100267. The reversal of 22120314100240 is 4200141302122.

It can be written as a sum of positive squares in 4 ways, for example, as 44148733456 + 22076165366784 = 210116^2 + 4698528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66655149 + ... + 66986188.

It is an arithmetic number, because the mean of its divisors is an integer number (1286364698919).

Almost surely, 2^{22120314100240} is an apocalyptic number.

22120314100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120314100240 is an abundant number, since it is smaller than the sum of its proper divisors (29334273856520).

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

22120314100240 is a wasteful number, since it uses less digits than its factorization.

22120314100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133643419 (or 133643413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22120314100240 its reverse (4200141302122), we get a palindrome (26320455402362).

The spelling of 22120314100240 in words is "twenty-two trillion, one hundred twenty billion, three hundred fourteen million, one hundred thousand, two hundred forty".