1145064211200 has 3456 divisors, whose sum is σ = 5586575769600. Its totient is φ = 225740390400.

The previous prime is 1145064211079. The next prime is 1145064211211. The reversal of 1145064211200 is 21124605411.

1145064211200 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 642 + 1 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×1145064211200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36937555185 + ... + 36937555215.

Almost surely, 2^{1145064211200} is an apocalyptic number.

1145064211200 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 1145064211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793287884800).

1145064211200 is an abundant number, since it is smaller than the sum of its proper divisors (4441511558400).

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

1145064211200 is an equidigital number, since it uses as much as digits as its factorization.

1145064211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1145064211200 its reverse (21124605411), we get a palindrome (1166188816611).

The spelling of 1145064211200 in words is "one trillion, one hundred forty-five billion, sixty-four million, two hundred eleven thousand, two hundred".