1214892000 has 384 divisors, whose sum is σ = 5057095680. Its totient is φ = 277516800.

The previous prime is 1214891987. The next prime is 1214892001. The reversal of 1214892000 is 2984121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214892001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755197 + ... + 756803.

It is an arithmetic number, because the mean of its divisors is an integer number (13169520).

Almost surely, 2^1214892000 is an apocalyptic number.

1214892000 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 1214892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528547840).

1214892000 is an abundant number, since it is smaller than the sum of its proper divisors (3842203680).

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

1214892000 is a wasteful number, since it uses less digits than its factorization.

1214892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1214892000 is about 34855.3008881002. The cubic root of 1214892000 is about 1067.0363735808.

The spelling of 1214892000 in words is "one billion, two hundred fourteen million, eight hundred ninety-two thousand".