22002120 has 96 divisors (see below), whose sum is σ = 81731520. Its totient is φ = 5028480.

The previous prime is 22002107. The next prime is 22002121. The reversal of 22002120 is 2120022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (22002121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (851370).

Almost surely, 2^22002120 is an apocalyptic number.

22002120 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 22002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40865760).

22002120 is an abundant number, since it is smaller than the sum of its proper divisors (59729400).

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

22002120 is a wasteful number, since it uses less digits than its factorization.

22002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22002120 is about 4690.6417471387. The cubic root of 22002120 is about 280.2129332664.

Adding to 22002120 its reverse (2120022), we get a palindrome (24122142).

It can be divided in two parts, 22002 and 120, that added together give a palindrome (22122).

The spelling of 22002120 in words is "twenty-two million, two thousand, one hundred twenty".