1121401200 has 240 divisors, whose sum is σ = 3741903360. Its totient is φ = 286863360.

The previous prime is 1121401199. The next prime is 1121401201. The reversal of 1121401200 is 21041211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121401199) and next prime (1121401201).

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

It is a super-2 number, since 2×1121401200² = 2515081302722880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121401201) 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, 3327432 + ... + 3327768.

It is an arithmetic number, because the mean of its divisors is an integer number (15591264).

Almost surely, 2^1121401200 is an apocalyptic number.

1121401200 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 1121401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870951680).

1121401200 is an abundant number, since it is smaller than the sum of its proper divisors (2620502160).

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

1121401200 is a wasteful number, since it uses less digits than its factorization.

1121401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

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

The square root of 1121401200 is about 33487.3289469316. The cubic root of 1121401200 is about 1038.9317186258.

Adding to 1121401200 its reverse (21041211), we get a palindrome (1142442411).

The spelling of 1121401200 in words is "one billion, one hundred twenty-one million, four hundred one thousand, two hundred".