1210152465600 has 336 divisors, whose sum is σ = 4366700179968. Its totient is φ = 291545026560.

The previous prime is 1210152465583. The next prime is 1210152465623. The reversal of 1210152465600 is 65642510121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2726487 + ... + 3139113.

It is an arithmetic number, because the mean of its divisors is an integer number (12996131488).

Almost surely, 2^{1210152465600} is an apocalyptic number.

1210152465600 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 1210152465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183350089984).

1210152465600 is an abundant number, since it is smaller than the sum of its proper divisors (3156547714368).

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

1210152465600 is a wasteful number, since it uses less digits than its factorization.

1210152465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412712 (or 412697 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 1210152465600 its reverse (65642510121), we get a palindrome (1275794975721).

The spelling of 1210152465600 in words is "one trillion, two hundred ten billion, one hundred fifty-two million, four hundred sixty-five thousand, six hundred".