22100211672 has 256 divisors, whose sum is σ = 71459712000. Its totient is φ = 5644800000.

The previous prime is 22100211671. The next prime is 22100211689. The reversal of 22100211672 is 27611200122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100211671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5521672 + ... + 5525672.

It is an arithmetic number, because the mean of its divisors is an integer number (279139500).

Almost surely, 2^22100211672 is an apocalyptic number.

22100211672 is a gapful number since it is divisible by the number (22) 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 22100211672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35729856000).

22100211672 is an abundant number, since it is smaller than the sum of its proper divisors (49359500328).

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

22100211672 is a wasteful number, since it uses less digits than its factorization.

22100211672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 22100211672 its reverse (27611200122), we get a palindrome (49711411794).

The spelling of 22100211672 in words is "twenty-two billion, one hundred million, two hundred eleven thousand, six hundred seventy-two".