1230820500 has 384 divisors, whose sum is σ = 4508614656. Its totient is φ = 254016000.

The previous prime is 1230820471. The next prime is 1230820501. The reversal of 1230820500 is 50280321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230820501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9691437 + ... + 9691563.

It is an arithmetic number, because the mean of its divisors is an integer number (11741184).

Almost surely, 2^1230820500 is an apocalyptic number.

1230820500 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 1230820500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254307328).

1230820500 is an abundant number, since it is smaller than the sum of its proper divisors (3277794156).

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

1230820500 is a wasteful number, since it uses less digits than its factorization.

1230820500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1230820500 is about 35083.0514636341. The cubic root of 1230820500 is about 1071.6794599768.

The spelling of 1230820500 in words is "one billion, two hundred thirty million, eight hundred twenty thousand, five hundred".