1211102400 has 84 divisors (see below), whose sum is σ = 3973440872. Its totient is φ = 322959360.

The previous prime is 1211102393. The next prime is 1211102401. The reversal of 1211102400 is 42011121.

It is a happy number.

It is a super-4 number, since 4×1211102400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1211102401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121357 + ... + 130956.

Almost surely, 2^1211102400 is an apocalyptic number.

1211102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211102400 is an abundant number, since it is smaller than the sum of its proper divisors (2762338472).

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

1211102400 is a wasteful number, since it uses less digits than its factorization.

1211102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252338 (or 252323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1211102400 is about 34800.8965401755. The cubic root of 1211102400 is about 1065.9257528365.

Adding to 1211102400 its reverse (42011121), we get a palindrome (1253113521).

The spelling of 1211102400 in words is "one billion, two hundred eleven million, one hundred two thousand, four hundred".