1212735456 has 144 divisors (see below), whose sum is σ = 3665516400. Its totient is φ = 390071808.

The previous prime is 1212735431. The next prime is 1212735479. The reversal of 1212735456 is 6545372121.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1212735456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725790 + ... + 727458.

It is an arithmetic number, because the mean of its divisors is an integer number (25454975).

Almost surely, 2^1212735456 is an apocalyptic number.

1212735456 is a gapful number since it is divisible by the number (16) 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 1212735456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832758200).

1212735456 is an abundant number, since it is smaller than the sum of its proper divisors (2452780944).

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

1212735456 is a wasteful number, since it uses less digits than its factorization.

1212735456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1703 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1212735456 is about 34824.3514799630. The cubic root of 1212735456 is about 1066.4046373732.

The spelling of 1212735456 in words is "one billion, two hundred twelve million, seven hundred thirty-five thousand, four hundred fifty-six".