1051200312 has 128 divisors (see below), whose sum is σ = 2782321920. Its totient is φ = 330624000.

The previous prime is 1051200259. The next prime is 1051200313. The reversal of 1051200312 is 2130021501.

It is a super-2 number, since 2×1051200312² = 2210044191897794688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051200291 and 1051200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051200313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4981887 + ... + 4982097.

It is an arithmetic number, because the mean of its divisors is an integer number (21736890).

Almost surely, 2^1051200312 is an apocalyptic number.

1051200312 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 1051200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391160960).

1051200312 is an abundant number, since it is smaller than the sum of its proper divisors (1731121608).

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

1051200312 is a wasteful number, since it uses less digits than its factorization.

1051200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1051200312 is about 32422.2194181706. The cubic root of 1051200312 is about 1016.7835086113.

Adding to 1051200312 its reverse (2130021501), we get a palindrome (3181221813).

The spelling of 1051200312 in words is "one billion, fifty-one million, two hundred thousand, three hundred twelve".