1201236087744 has 896 divisors, whose sum is σ = 4507942256640. Its totient is φ = 304645017600.

The previous prime is 1201236087719. The next prime is 1201236087809. The reversal of 1201236087744 is 4477806321021.

1201236087744 is a `hidden beast` number, since 1 + 20 + 12 + 3 + 608 + 7 + 7 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1201236087744.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1132172974 + ... + 1132174034.

Almost surely, 2^{1201236087744} is an apocalyptic number.

1201236087744 is a gapful number since it is divisible by the number (14) 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 1201236087744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253971128320).

1201236087744 is an abundant number, since it is smaller than the sum of its proper divisors (3306706168896).

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

1201236087744 is a wasteful number, since it uses less digits than its factorization.

1201236087744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1201236087744 in words is "one trillion, two hundred one billion, two hundred thirty-six million, eighty-seven thousand, seven hundred forty-four".