1229982770016 has 3456 divisors, whose sum is σ = 5630366246400. Its totient is φ = 255839109120.

The previous prime is 1229982769969. The next prime is 1229982770083. The reversal of 1229982770016 is 6100772899221.

It is a super-2 number, since 2×1229982770016² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 33242777550 + ... + 33242777586.

It is an arithmetic number, because the mean of its divisors is an integer number (1629156900).

Almost surely, 2^{1229982770016} is an apocalyptic number.

1229982770016 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 1229982770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815183123200).

1229982770016 is an abundant number, since it is smaller than the sum of its proper divisors (4400383476384).

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

1229982770016 is a wasteful number, since it uses less digits than its factorization.

1229982770016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1229982770016 in words is "one trillion, two hundred twenty-nine billion, nine hundred eighty-two million, seven hundred seventy thousand, sixteen".