1102126485672 has 96 divisors (see below), whose sum is σ = 3065214746880. Its totient is φ = 357554615040.

The previous prime is 1102126485623. The next prime is 1102126485701. The reversal of 1102126485672 is 2765846212011.

1102126485672 is a `hidden beast` number, since 1 + 1 + 0 + 21 + 2 + 64 + 8 + 567 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236553 + ... + 1503399.

It is an arithmetic number, because the mean of its divisors is an integer number (31929320280).

Almost surely, 2^{1102126485672} is an apocalyptic number.

1102126485672 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 1102126485672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532607373440).

1102126485672 is an abundant number, since it is smaller than the sum of its proper divisors (1963088261208).

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

1102126485672 is a wasteful number, since it uses less digits than its factorization.

1102126485672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267183 (or 1267176 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1102126485672 in words is "one trillion, one hundred two billion, one hundred twenty-six million, four hundred eighty-five thousand, six hundred seventy-two".