1213251600 has 240 divisors, whose sum is σ = 4284368640. Its totient is φ = 291033600.

The previous prime is 1213251577. The next prime is 1213251607. The reversal of 1213251600 is 61523121.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1213251607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1411971 + ... + 1412829.

It is an arithmetic number, because the mean of its divisors is an integer number (17851536).

Almost surely, 2^1213251600 is an apocalyptic number.

1213251600 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 1213251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142184320).

1213251600 is an abundant number, since it is smaller than the sum of its proper divisors (3071117040).

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

1213251600 is a wasteful number, since it uses less digits than its factorization.

1213251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1213251600 is about 34831.7613680388. The cubic root of 1213251600 is about 1066.5559042975. Note that the first 3 decimals are identical.

Adding to 1213251600 its reverse (61523121), we get a palindrome (1274774721).

The spelling of 1213251600 in words is "one billion, two hundred thirteen million, two hundred fifty-one thousand, six hundred".