1212493824 has 156 divisors (see below), whose sum is σ = 3618718272. Its totient is φ = 390758400.

The previous prime is 1212493819. The next prime is 1212493847. The reversal of 1212493824 is 4283942121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142254 + ... + 1143314.

It is an arithmetic number, because the mean of its divisors is an integer number (23196912).

Almost surely, 2^1212493824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809359136).

1212493824 is an abundant number, since it is smaller than the sum of its proper divisors (2406224448).

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

1212493824 is a wasteful number, since it uses less digits than its factorization.

1212493824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1097 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1212493824 is about 34820.8820106556. The cubic root of 1212493824 is about 1066.3338072512. Note that the first 3 decimals are identical.

The spelling of 1212493824 in words is "one billion, two hundred twelve million, four hundred ninety-three thousand, eight hundred twenty-four".