1214153200 has 120 divisors (see below), whose sum is σ = 3306993200. Its totient is φ = 424673280.

The previous prime is 1214153197. The next prime is 1214153263. The reversal of 1214153200 is 23514121.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92656 + ... + 104944.

Almost surely, 2^1214153200 is an apocalyptic number.

1214153200 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 1214153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653496600).

1214153200 is an abundant number, since it is smaller than the sum of its proper divisors (2092840000).

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

1214153200 is a wasteful number, since it uses less digits than its factorization.

1214153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1214153200 is about 34844.7011753581. The cubic root of 1214153200 is about 1066.8200343710.

Adding to 1214153200 its reverse (23514121), we get a palindrome (1237667321).

It can be divided in two parts, 12141 and 53200, that added together give a triangular number (65341 = T₃₆₁).

The spelling of 1214153200 in words is "one billion, two hundred fourteen million, one hundred fifty-three thousand, two hundred".