1214052000 has 384 divisors, whose sum is σ = 4623091200. Its totient is φ = 272793600.

The previous prime is 1214051983. The next prime is 1214052019. The reversal of 1214052000 is 2504121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8147926 + ... + 8148074.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^1214052000 is an apocalyptic number.

1214052000 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 1214052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311545600).

1214052000 is an abundant number, since it is smaller than the sum of its proper divisors (3409039200).

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

1214052000 is a wasteful number, since it uses less digits than its factorization.

1214052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1214052000 is about 34843.2489874294. The cubic root of 1214052000 is about 1066.7903936340.

Adding to 1214052000 its reverse (2504121), we get a palindrome (1216556121).

The spelling of 1214052000 in words is "one billion, two hundred fourteen million, fifty-two thousand".