144123054112100 has 288 divisors, whose sum is σ = 363772317081600. Its totient is φ = 48543401203200.

The previous prime is 144123054112043. The next prime is 144123054112123. The reversal of 144123054112100 is 1211450321441.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11162804645 + ... + 11162817555.

It is an arithmetic number, because the mean of its divisors is an integer number (1263098323200).

Almost surely, 2^{144123054112100} is an apocalyptic number.

144123054112100 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 144123054112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181886158540800).

144123054112100 is an abundant number, since it is smaller than the sum of its proper divisors (219649262969500).

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

144123054112100 is a wasteful number, since it uses less digits than its factorization.

144123054112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 144123054112100 in words is "one hundred forty-four trillion, one hundred twenty-three billion, fifty-four million, one hundred twelve thousand, one hundred".