1001122920 has 576 divisors, whose sum is σ = 4161456000. Its totient is φ = 207277056.

The previous prime is 1001122849. The next prime is 1001122943. The reversal of 1001122920 is 292211001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001122893 and 1001122902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9719589 + ... + 9719691.

It is an arithmetic number, because the mean of its divisors is an integer number (7224750).

Almost surely, 2^1001122920 is an apocalyptic number.

1001122920 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 1001122920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080728000).

1001122920 is an abundant number, since it is smaller than the sum of its proper divisors (3160333080).

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

1001122920 is a wasteful number, since it uses less digits than its factorization.

1001122920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1001122920 is about 31640.5265442913. The cubic root of 1001122920 is about 1000.3741666485.

Adding to 1001122920 its reverse (292211001), we get a palindrome (1293333921).

The spelling of 1001122920 in words is "one billion, one million, one hundred twenty-two thousand, nine hundred twenty".