1101120010032 has 320 divisors, whose sum is σ = 3475997521920. Its totient is φ = 293199740928.

The previous prime is 1101120010021. The next prime is 1101120010097. The reversal of 1101120010032 is 2300100211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357621069 + ... + 357624147.

It is an arithmetic number, because the mean of its divisors is an integer number (10862492256).

Almost surely, 2^{1101120010032} is an apocalyptic number.

1101120010032 is a gapful number since it is divisible by the number (12) 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 1101120010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737998760960).

1101120010032 is an abundant number, since it is smaller than the sum of its proper divisors (2374877511888).

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

1101120010032 is a wasteful number, since it uses less digits than its factorization.

1101120010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1101120010032 its reverse (2300100211011), we get a palindrome (3401220221043).

The spelling of 1101120010032 in words is "one trillion, one hundred one billion, one hundred twenty million, ten thousand, thirty-two".