1213056000 has 616 divisors, whose sum is σ = 4886418264. Its totient is φ = 298598400.

The previous prime is 1213055959. The next prime is 1213056001. The reversal of 1213056000 is 6503121.

It can be written as a sum of positive squares in 4 ways, for example, as 191102976 + 1021953024 = 13824^2 + 31968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213056001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311994 + ... + 93312006.

Almost surely, 2^1213056000 is an apocalyptic number.

1213056000 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 1213056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443209132).

1213056000 is an abundant number, since it is smaller than the sum of its proper divisors (3673362264).

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

1213056000 is an frugal number, since it uses more digits than its factorization.

1213056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1213056000 is about 34828.9534726497. The cubic root of 1213056000 is about 1066.4985846267.

Adding to 1213056000 its reverse (6503121), we get a palindrome (1219559121).

The spelling of 1213056000 in words is "one billion, two hundred thirteen million, fifty-six thousand".