120123012012000 has 768 divisors, whose sum is σ = 410278162694400. Its totient is φ = 30687205785600.

The previous prime is 120123012011999. The next prime is 120123012012037. The reversal of 120123012012000 is 210210321021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24058281504 + ... + 24058286496.

It is an arithmetic number, because the mean of its divisors is an integer number (534216357675).

Almost surely, 2^{120123012012000} is an apocalyptic number.

120123012012000 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 120123012012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205139081347200).

120123012012000 is an abundant number, since it is smaller than the sum of its proper divisors (290155150682400).

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

120123012012000 is a wasteful number, since it uses less digits than its factorization.

120123012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120123012012000 its reverse (210210321021), we get a palindrome (120333222333021).

The spelling of 120123012012000 in words is "one hundred twenty trillion, one hundred twenty-three billion, twelve million, twelve thousand".