1122201600 has 312 divisors, whose sum is σ = 4009920432. Its totient is φ = 275251200.

The previous prime is 1122201589. The next prime is 1122201667. The reversal of 1122201600 is 61022211.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122201600.

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, 3993460 + ... + 3993740.

Almost surely, 2^1122201600 is an apocalyptic number.

1122201600 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 1122201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004960216).

1122201600 is an abundant number, since it is smaller than the sum of its proper divisors (2887718832).

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

1122201600 is a wasteful number, since it uses less digits than its factorization.

1122201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1122201600 is about 33499.2776041514. The cubic root of 1122201600 is about 1039.1788389795.

Adding to 1122201600 its reverse (61022211), we get a palindrome (1183223811).

The spelling of 1122201600 in words is "one billion, one hundred twenty-two million, two hundred one thousand, six hundred".