1214000433200 has 120 divisors (see below), whose sum is σ = 2926424853072. Its totient is φ = 483972572160.

The previous prime is 1214000433193. The next prime is 1214000433209. The reversal of 1214000433200 is 23340004121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1214000433209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253601207 + ... + 253605993.

Almost surely, 2^{1214000433200} is an apocalyptic number.

1214000433200 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 1214000433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463212426536).

1214000433200 is an abundant number, since it is smaller than the sum of its proper divisors (1712424419872).

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

1214000433200 is a wasteful number, since it uses less digits than its factorization.

1214000433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1214000433200 its reverse (23340004121), we get a palindrome (1237340437321).

The spelling of 1214000433200 in words is "one trillion, two hundred fourteen billion, four hundred thirty-three thousand, two hundred".