10222120920 has 192 divisors, whose sum is σ = 34974374400. Its totient is φ = 2370184960.

The previous prime is 10222120891. The next prime is 10222120921. The reversal of 10222120920 is 2902122201.

It is a happy number.

It is a super-2 number, since 2×10222120920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222120921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690961 + ... + 705599.

It is an arithmetic number, because the mean of its divisors is an integer number (182158200).

Almost surely, 2^10222120920 is an apocalyptic number.

10222120920 is a gapful number since it is divisible by the number (10) 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 10222120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487187200).

10222120920 is an abundant number, since it is smaller than the sum of its proper divisors (24752253480).

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

10222120920 is a wasteful number, since it uses less digits than its factorization.

10222120920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14710 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 10222120920 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, nine hundred twenty".