1983226101120 has 1024 divisors, whose sum is σ = 8103545856000. Its totient is φ = 453869568000.

The previous prime is 1983226101107. The next prime is 1983226101149. The reversal of 1983226101120 is 211016223891.

1983226101120 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 2 + 2 + 610 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241587576 + ... + 241595784.

It is an arithmetic number, because the mean of its divisors is an integer number (7913619000).

Almost surely, 2^{1983226101120} is an apocalyptic number.

1983226101120 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 1983226101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051772928000).

1983226101120 is an abundant number, since it is smaller than the sum of its proper divisors (6120319754880).

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

1983226101120 is a wasteful number, since it uses less digits than its factorization.

1983226101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1983226101120 in words is "one trillion, nine hundred eighty-three billion, two hundred twenty-six million, one hundred one thousand, one hundred twenty".