1213775587200 has 1152 divisors, whose sum is σ = 4663821496320. Its totient is φ = 276756480000.

The previous prime is 1213775587159. The next prime is 1213775587291. The reversal of 1213775587200 is 27855773121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1213775587200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1332354745 + ... + 1332355655.

It is an arithmetic number, because the mean of its divisors is an integer number (4048456160).

Almost surely, 2^{1213775587200} is an apocalyptic number.

1213775587200 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 1213775587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331910748160).

1213775587200 is an abundant number, since it is smaller than the sum of its proper divisors (3450045909120).

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

1213775587200 is a wasteful number, since it uses less digits than its factorization.

1213775587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 1213775587200 in words is "one trillion, two hundred thirteen billion, seven hundred seventy-five million, five hundred eighty-seven thousand, two hundred".