1122739867200 has 1344 divisors, whose sum is σ = 4608281051136. Its totient is φ = 233472000000.

The previous prime is 1122739867169. The next prime is 1122739867229. The reversal of 1122739867200 is 27689372211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 1122739867200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4473067075 + ... + 4473067325.

It is an arithmetic number, because the mean of its divisors is an integer number (3428780544).

Almost surely, 2^{1122739867200} is an apocalyptic number.

1122739867200 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 1122739867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304140525568).

1122739867200 is an abundant number, since it is smaller than the sum of its proper divisors (3485541183936).

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

1122739867200 is a wasteful number, since it uses less digits than its factorization.

1122739867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 1122739867200 in words is "one trillion, one hundred twenty-two billion, seven hundred thirty-nine million, eight hundred sixty-seven thousand, two hundred".