1200455312 has 60 divisors (see below), whose sum is σ = 2711461500. Its totient is φ = 513370368.

The previous prime is 1200455299. The next prime is 1200455317. The reversal of 1200455312 is 2135540021.

It can be written as a sum of positive squares in 2 ways, for example, as 123565456 + 1076889856 = 11116^2 + 32816^2 .

It is a super-2 number, since 2×1200455312² = 2882185912218034688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200455317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435314 + ... + 438062.

It is an arithmetic number, because the mean of its divisors is an integer number (45191025).

Almost surely, 2^1200455312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200455312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355730750).

1200455312 is an abundant number, since it is smaller than the sum of its proper divisors (1511006188).

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

1200455312 is a wasteful number, since it uses less digits than its factorization.

1200455312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1200455312 is about 34647.5873907549. The cubic root of 1200455312 is about 1062.7929525207.

Adding to 1200455312 its reverse (2135540021), we get a palindrome (3335995333).

The spelling of 1200455312 in words is "one billion, two hundred million, four hundred fifty-five thousand, three hundred twelve".