12100750272 has 224 divisors, whose sum is σ = 38455152960. Its totient is φ = 3709255680.

The previous prime is 12100750253. The next prime is 12100750283. The reversal of 12100750272 is 27205700121.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7030372 + ... + 7032092.

It is an arithmetic number, because the mean of its divisors is an integer number (171674790).

Almost surely, 2^12100750272 is an apocalyptic number.

12100750272 is a gapful number since it is divisible by the number (12) 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 12100750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227576480).

12100750272 is an abundant number, since it is smaller than the sum of its proper divisors (26354402688).

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

12100750272 is a wasteful number, since it uses less digits than its factorization.

12100750272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 12100750272 in words is "twelve billion, one hundred million, seven hundred fifty thousand, two hundred seventy-two".