1145120794272 has 1296 divisors, whose sum is σ = 4440987401760. Its totient is φ = 277974208512.

The previous prime is 1145120794271. The next prime is 1145120794273. The reversal of 1145120794272 is 2724970215411.

1145120794272 is a `hidden beast` number, since 1 + 1 + 451 + 20 + 79 + 42 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1145120794271) and next prime (1145120794273).

It is a super-2 number, since 2×1145120794272² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145120794271) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1676604043 + ... + 1676604725.

It is an arithmetic number, because the mean of its divisors is an integer number (3426687810).

Almost surely, 2^{1145120794272} is an apocalyptic number.

1145120794272 is a gapful number since it is divisible by the number (12) 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 1145120794272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220493700880).

1145120794272 is an abundant number, since it is smaller than the sum of its proper divisors (3295866607488).

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

1145120794272 is a wasteful number, since it uses less digits than its factorization.

1145120794272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1145120794272 in words is "one trillion, one hundred forty-five billion, one hundred twenty million, seven hundred ninety-four thousand, two hundred seventy-two".