1201124400 has 240 divisors, whose sum is σ = 4589182464. Its totient is φ = 262563840.

The previous prime is 1201124383. The next prime is 1201124401. The reversal of 1201124400 is 44211021.

It is a tau number, because it is divible by the number of its divisors (240).

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 1201124400.

It is not an unprimeable number, because it can be changed into a prime (1201124401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190092 + ... + 196308.

Almost surely, 2^1201124400 is an apocalyptic number.

1201124400 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 1201124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294591232).

1201124400 is an abundant number, since it is smaller than the sum of its proper divisors (3388058064).

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

1201124400 is a wasteful number, since it uses less digits than its factorization.

1201124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1201124400 is about 34657.2416675072. The cubic root of 1201124400 is about 1062.9903692651.

Adding to 1201124400 its reverse (44211021), we get a palindrome (1245335421).

The spelling of 1201124400 in words is "one billion, two hundred one million, one hundred twenty-four thousand, four hundred".