1123420369680 has 600 divisors, whose sum is σ = 4543800707160. Its totient is φ = 256501002240.

The previous prime is 1123420369633. The next prime is 1123420369693. The reversal of 1123420369680 is 869630243211.

1123420369680 is a `hidden beast` number, since 11 + 23 + 420 + 36 + 96 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22331118096 + 1101089251584 = 149436^2 + 1049328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 470245926 + ... + 470248314.

Almost surely, 2^{1123420369680} is an apocalyptic number.

1123420369680 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 1123420369680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271900353580).

1123420369680 is an abundant number, since it is smaller than the sum of its proper divisors (3420380337480).

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

1123420369680 is a wasteful number, since it uses less digits than its factorization.

1123420369680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1123420369680 in words is "one trillion, one hundred twenty-three billion, four hundred twenty million, three hundred sixty-nine thousand, six hundred eighty".