1037842101120 has 1024 divisors, whose sum is σ = 4050785894400. Its totient is φ = 222747033600.

The previous prime is 1037842101113. The next prime is 1037842101143. The reversal of 1037842101120 is 211012487301.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1139233465 + ... + 1139234375.

It is an arithmetic number, because the mean of its divisors is an integer number (3955845600).

Almost surely, 2^{1037842101120} is an apocalyptic number.

1037842101120 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 1037842101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025392947200).

1037842101120 is an abundant number, since it is smaller than the sum of its proper divisors (3012943793280).

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

1037842101120 is a wasteful number, since it uses less digits than its factorization.

1037842101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 1037842101120 its reverse (211012487301), we get a palindrome (1248854588421).

The spelling of 1037842101120 in words is "one trillion, thirty-seven billion, eight hundred forty-two million, one hundred one thousand, one hundred twenty".