1200121440 has 96 divisors (see below), whose sum is σ = 4320449280. Its totient is φ = 274312704.

The previous prime is 1200121421. The next prime is 1200121441. The reversal of 1200121440 is 441210021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200121441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175230 + ... + 181949.

It is an arithmetic number, because the mean of its divisors is an integer number (45004680).

Almost surely, 2^1200121440 is an apocalyptic number.

1200121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200121440 is an abundant number, since it is smaller than the sum of its proper divisors (3120327840).

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

1200121440 is a wasteful number, since it uses less digits than its factorization.

1200121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357204 (or 357196 counting only the distinct ones).

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

The square root of 1200121440 is about 34642.7689424503. The cubic root of 1200121440 is about 1062.6944149892.

Adding to 1200121440 its reverse (441210021), we get a palindrome (1641331461).

The spelling of 1200121440 in words is "one billion, two hundred million, one hundred twenty-one thousand, four hundred forty".