1224146000 has 160 divisors (see below), whose sum is σ = 3690835200. Its totient is φ = 381504000.

The previous prime is 1224145981. The next prime is 1224146009. The reversal of 1224146000 is 6414221.

1224146000 = 169² + 170² + ... + 1543².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224146009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150026 + ... + 157974.

It is an arithmetic number, because the mean of its divisors is an integer number (23067720).

Almost surely, 2^1224146000 is an apocalyptic number.

1224146000 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 1224146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845417600).

1224146000 is an abundant number, since it is smaller than the sum of its proper divisors (2466689200).

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

1224146000 is a wasteful number, since it uses less digits than its factorization.

1224146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7990 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1224146000 is about 34987.7978729728. The cubic root of 1224146000 is about 1069.7387780526.

The spelling of 1224146000 in words is "one billion, two hundred twenty-four million, one hundred forty-six thousand".