1001022120 has 192 divisors, whose sum is σ = 3742427520. Its totient is φ = 227308032.

The previous prime is 1001022119. The next prime is 1001022133. The reversal of 1001022120 is 212201001.

1001022120 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409542 + ... + 411978.

It is an arithmetic number, because the mean of its divisors is an integer number (19491810).

Almost surely, 2^1001022120 is an apocalyptic number.

1001022120 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 1001022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871213760).

1001022120 is an abundant number, since it is smaller than the sum of its proper divisors (2741405400).

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

1001022120 is a wasteful number, since it uses less digits than its factorization.

1001022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001022120 is about 31638.9336103479. The cubic root of 1001022120 is about 1000.3405906515.

Adding to 1001022120 its reverse (212201001), we get a palindrome (1213223121).

The spelling of 1001022120 in words is "one billion, one million, twenty-two thousand, one hundred twenty".