1214899200 has 198 divisors, whose sum is σ = 4350738834. Its totient is φ = 323911680.

The previous prime is 1214899199. The next prime is 1214899201. The reversal of 1214899200 is 29984121.

It is an interprime number because it is at equal distance from previous prime (1214899199) and next prime (1214899201).

It can be written as a sum of positive squares in 3 ways, for example, as 72999936 + 1141899264 = 8544^2 + 33792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214899201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 227764 + ... + 233036.

Almost surely, 2^1214899200 is an apocalyptic number.

1214899200 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 1214899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175369417).

1214899200 is an abundant number, since it is smaller than the sum of its proper divisors (3135839634).

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

1214899200 is a wasteful number, since it uses less digits than its factorization.

1214899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1214899200 is about 34855.4041720936. The cubic root of 1214899200 is about 1067.0384814902.

The spelling of 1214899200 in words is "one billion, two hundred fourteen million, eight hundred ninety-nine thousand, two hundred".