22324211322240 has 128 divisors (see below), whose sum is σ = 71164204927200. Its totient is φ = 5952639352832.

The previous prime is 22324211322229. The next prime is 22324211322277. The reversal of 22324211322240 is 4222311242322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22324211322240³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22324211322198 and 22324211322207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23482066 + ... + 24414254.

Almost surely, 2^{22324211322240} is an apocalyptic number.

22324211322240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22324211322240 is an abundant number, since it is smaller than the sum of its proper divisors (48839993604960).

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

22324211322240 is a wasteful number, since it uses less digits than its factorization.

22324211322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944684 (or 944672 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22324211322240 its reverse (4222311242322), we get a palindrome (26546522564562).

The spelling of 22324211322240 in words is "twenty-two trillion, three hundred twenty-four billion, two hundred eleven million, three hundred twenty-two thousand, two hundred forty".