1125332226720 has 768 divisors, whose sum is σ = 4299474816000. Its totient is φ = 273257349120.

The previous prime is 1125332226713. The next prime is 1125332226769. The reversal of 1125332226720 is 276222335211.

1125332226720 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 322 + 267 + 20 = 666.

It is a super-3 number, since 3×1125332226720³ (a number of 37 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1514578669 + ... + 1514579411.

It is an arithmetic number, because the mean of its divisors is an integer number (5598274500).

Almost surely, 2^{1125332226720} is an apocalyptic number.

1125332226720 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 1125332226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149737408000).

1125332226720 is an abundant number, since it is smaller than the sum of its proper divisors (3174142589280).

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

1125332226720 is a wasteful number, since it uses less digits than its factorization.

1125332226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1125332226720 in words is "one trillion, one hundred twenty-five billion, three hundred thirty-two million, two hundred twenty-six thousand, seven hundred twenty".