1219734405120 has 864 divisors, whose sum is σ = 4957447090176. Its totient is φ = 253231104000.

The previous prime is 1219734405119. The next prime is 1219734405163. The reversal of 1219734405120 is 215044379121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059716545 + ... + 1059717695.

It is an arithmetic number, because the mean of its divisors is an integer number (5737785984).

Almost surely, 2^{1219734405120} is an apocalyptic number.

1219734405120 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 1219734405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478723545088).

1219734405120 is an abundant number, since it is smaller than the sum of its proper divisors (3737712685056).

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

1219734405120 is an equidigital number, since it uses as much as digits as its factorization.

1219734405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 1219734405120 in words is "one trillion, two hundred nineteen billion, seven hundred thirty-four million, four hundred five thousand, one hundred twenty".