1201104554496 has 1280 divisors, whose sum is σ = 4643085680640. Its totient is φ = 265880862720.

The previous prime is 1201104554437. The next prime is 1201104554497. The reversal of 1201104554496 is 6944554011021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1201104554497) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 878642005 + ... + 878643371.

It is an arithmetic number, because the mean of its divisors is an integer number (3627410688).

Almost surely, 2^{1201104554496} is an apocalyptic number.

1201104554496 is a gapful number since it is divisible by the number (16) 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 1201104554496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321542840320).

1201104554496 is an abundant number, since it is smaller than the sum of its proper divisors (3441981126144).

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

1201104554496 is a wasteful number, since it uses less digits than its factorization.

1201104554496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1201104554496 in words is "one trillion, two hundred one billion, one hundred four million, five hundred fifty-four thousand, four hundred ninety-six".