1123427337120 has 576 divisors, whose sum is σ = 4323680944128. Its totient is φ = 263160576000.

The previous prime is 1123427337107. The next prime is 1123427337133. The reversal of 1123427337120 is 217337243211.

1123427337120 is a `hidden beast` number, since 1 + 1 + 234 + 273 + 37 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1123427337107) and next prime (1123427337133).

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

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 95 ways as a sum of consecutive naturals, for example, 433587025 + ... + 433589615.

It is an arithmetic number, because the mean of its divisors is an integer number (7506390528).

Almost surely, 2^{1123427337120} is an apocalyptic number.

1123427337120 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 1123427337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161840472064).

1123427337120 is an abundant number, since it is smaller than the sum of its proper divisors (3200253607008).

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

1123427337120 is a wasteful number, since it uses less digits than its factorization.

1123427337120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 1123427337120 in words is "one trillion, one hundred twenty-three billion, four hundred twenty-seven million, three hundred thirty-seven thousand, one hundred twenty".