1241101854720 has 2592 divisors, whose sum is σ = 5788533277800. Its totient is φ = 252829237248.

The previous prime is 1241101854719. The next prime is 1241101854737. The reversal of 1241101854720 is 274581011421.

1241101854720 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 1 + 0 + 185 + 472 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 790420571136 + 450681283584 = 889056^2 + 671328^2 .

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 42796615666 + ... + 42796615694.

Almost surely, 2^{1241101854720} is an apocalyptic number.

1241101854720 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 1241101854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894266638900).

1241101854720 is an abundant number, since it is smaller than the sum of its proper divisors (4547431423080).

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

1241101854720 is an frugal number, since it uses more digits than its factorization.

1241101854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 1241101854720 in words is "one trillion, two hundred forty-one billion, one hundred one million, eight hundred fifty-four thousand, seven hundred twenty".