1201286145024 has 495 divisors, whose sum is σ = 4064003259953. Its totient is φ = 341751545856.

The previous prime is 1201286144983. The next prime is 1201286145041. The reversal of 1201286145024 is 4205416821021.

The square root of 1201286145024 is 1096032.

It is a perfect power (a square), and thus also a powerful number.

1201286145024 is a `hidden beast` number, since 1 + 2 + 0 + 12 + 8 + 614 + 5 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243956966400 + 957329178624 = 493920^2 + 978432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1201286145024.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5155734412 + ... + 5155734644.

Almost surely, 2^{1201286145024} is an apocalyptic number.

1201286145024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1201286145024 is the 1096032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201286145024

1201286145024 is an abundant number, since it is smaller than the sum of its proper divisors (2862717114929).

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

1201286145024 is an frugal number, since it uses more digits than its factorization.

1201286145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 1201286145024 by its sum of digits (36), we get a square (43246301220864 = 6576192²).

1201286145024 divided by its sum of digits (36) gives a square (33369059584 = 182672²).

The spelling of 1201286145024 in words is "one trillion, two hundred one billion, two hundred eighty-six million, one hundred forty-five thousand, twenty-four".