1016132035120 has 80 divisors (see below), whose sum is σ = 2404331112960. Its totient is φ = 399311996672.

The previous prime is 1016132035111. The next prime is 1016132035147. The reversal of 1016132035120 is 215302316101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1016132035120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761097 + ... + 1616023.

It is an arithmetic number, because the mean of its divisors is an integer number (30054138912).

Almost surely, 2^{1016132035120} is an apocalyptic number.

1016132035120 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 1016132035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202165556480).

1016132035120 is an abundant number, since it is smaller than the sum of its proper divisors (1388199077840).

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

1016132035120 is a wasteful number, since it uses less digits than its factorization.

1016132035120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855202 (or 855196 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 1016132035120 in words is "one trillion, sixteen billion, one hundred thirty-two million, thirty-five thousand, one hundred twenty".