1214242000 has 160 divisors (see below), whose sum is σ = 3158797824. Its totient is φ = 449792000.

The previous prime is 1214241947. The next prime is 1214242033. The reversal of 1214242000 is 2424121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413749 + ... + 2414251.

Almost surely, 2^1214242000 is an apocalyptic number.

1214242000 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 1214242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

1214242000 is an abundant number, since it is smaller than the sum of its proper divisors (1944555824).

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

1214242000 is a wasteful number, since it uses less digits than its factorization.

1214242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1214242000 is about 34845.9753773660. The cubic root of 1214242000 is about 1066.8460418824.

Adding to 1214242000 its reverse (2424121), we get a palindrome (1216666121).

The spelling of 1214242000 in words is "one billion, two hundred fourteen million, two hundred forty-two thousand".