1126728645120 has 1280 divisors, whose sum is σ = 4476988454400. Its totient is φ = 266836377600.

The previous prime is 1126728645109. The next prime is 1126728645131. The reversal of 1126728645120 is 215468276211.

1126728645120 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 72 + 8 + 64 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1126728645109) and next prime (1126728645131).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2809796920 + ... + 2809797320.

It is an arithmetic number, because the mean of its divisors is an integer number (3497647230).

Almost surely, 2^{1126728645120} is an apocalyptic number.

1126728645120 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 1126728645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238494227200).

1126728645120 is an abundant number, since it is smaller than the sum of its proper divisors (3350259809280).

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

1126728645120 is a wasteful number, since it uses less digits than its factorization.

1126728645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1126728645120 in words is "one trillion, one hundred twenty-six billion, seven hundred twenty-eight million, six hundred forty-five thousand, one hundred twenty".