22321151120 has 80 divisors (see below), whose sum is σ = 53711281008. Its totient is φ = 8620769280.

The previous prime is 22321151101. The next prime is 22321151131. The reversal of 22321151120 is 2115112322.

It can be written as a sum of positive squares in 8 ways, for example, as 6492491776 + 15828659344 = 80576^2 + 125812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22321151120³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22321151092 and 22321151101.

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, 283082 + ... + 353238.

Almost surely, 2^22321151120 is an apocalyptic number.

22321151120 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 22321151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26855640504).

22321151120 is an abundant number, since it is smaller than the sum of its proper divisors (31390129888).

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

22321151120 is a wasteful number, since it uses less digits than its factorization.

22321151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70308 (or 70302 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 22321151120 its reverse (2115112322), we get a palindrome (24436263442).

The spelling of 22321151120 in words is "twenty-two billion, three hundred twenty-one million, one hundred fifty-one thousand, one hundred twenty".