1122035013200 has 120 divisors (see below), whose sum is σ = 2863383537528. Its totient is φ = 421062819840.

The previous prime is 1122035013173. The next prime is 1122035013221. The reversal of 1122035013200 is 23105302211.

It can be written as a sum of positive squares in 12 ways, for example, as 866075919424 + 255959093776 = 930632^2 + 505924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864814 + ... + 2391986.

Almost surely, 2^{1122035013200} is an apocalyptic number.

1122035013200 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 1122035013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431691768764).

1122035013200 is an abundant number, since it is smaller than the sum of its proper divisors (1741348524328).

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

1122035013200 is a wasteful number, since it uses less digits than its factorization.

1122035013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527521 (or 527510 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 1122035013200 in words is "one trillion, one hundred twenty-two billion, thirty-five million, thirteen thousand, two hundred".