1101121200 has 90 divisors (see below), whose sum is σ = 3821208924. Its totient is φ = 293631360.

The previous prime is 1101121183. The next prime is 1101121211. The reversal of 1101121200 is 21211011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 149334 + ... + 156533.

Almost surely, 2^1101121200 is an apocalyptic number.

1101121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101121200 is an abundant number, since it is smaller than the sum of its proper divisors (2720087724).

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

1101121200 is a wasteful number, since it uses less digits than its factorization.

1101121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305891 (or 305877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1101121200 is about 33183.1463246028. The cubic root of 1101121200 is about 1032.6307213519.

Adding to 1101121200 its reverse (21211011), we get a palindrome (1122332211).

The spelling of 1101121200 in words is "one billion, one hundred one million, one hundred twenty-one thousand, two hundred".