12100723053000 has 256 divisors, whose sum is σ = 38785410144000. Its totient is φ = 3138775142400.

The previous prime is 12100723052983. The next prime is 12100723053031. The reversal of 12100723053000 is 35032700121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463633951 + ... + 463660049.

It is an arithmetic number, because the mean of its divisors is an integer number (151505508375).

Almost surely, 2^{12100723053000} is an apocalyptic number.

12100723053000 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 12100723053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392705072000).

12100723053000 is an abundant number, since it is smaller than the sum of its proper divisors (26684687091000).

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

12100723053000 is a wasteful number, since it uses less digits than its factorization.

12100723053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30337 (or 30323 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 12100723053000 its reverse (35032700121), we get a palindrome (12135755753121).

The spelling of 12100723053000 in words is "twelve trillion, one hundred billion, seven hundred twenty-three million, fifty-three thousand".