1275211123200 has 1260 divisors, whose sum is σ = 5512347000270. Its totient is φ = 291372318720.

The previous prime is 1275211123117. The next prime is 1275211123223. The reversal of 1275211123200 is 23211125721.

It is a happy number.

1275211123200 is a `hidden beast` number, since 1 + 2 + 7 + 521 + 112 + 3 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1014032888064 + 261178235136 = 1006992^2 + 511056^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 125 ways as a sum of consecutive naturals, for example, 457227406 + ... + 457230194.

Almost surely, 2^{1275211123200} is an apocalyptic number.

1275211123200 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 1275211123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756173500135).

1275211123200 is an abundant number, since it is smaller than the sum of its proper divisors (4237135877070).

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

1275211123200 is an frugal number, since it uses more digits than its factorization.

1275211123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1275211123200 its reverse (23211125721), we get a palindrome (1298422248921).

The spelling of 1275211123200 in words is "one trillion, two hundred seventy-five billion, two hundred eleven million, one hundred twenty-three thousand, two hundred".