4312312772100 has 144 divisors (see below), whose sum is σ = 12649869606528. Its totient is φ = 1134018524160.

The previous prime is 4312312772063. The next prime is 4312312772101. The reversal of 4312312772100 is 12772132134.

It is not an unprimeable number, because it can be changed into a prime (4312312772101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194614222 + ... + 194636378.

It is an arithmetic number, because the mean of its divisors is an integer number (87846316712).

Almost surely, 2^{4312312772100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312312772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324934803264).

4312312772100 is an abundant number, since it is smaller than the sum of its proper divisors (8337556834428).

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

4312312772100 is a wasteful number, since it uses less digits than its factorization.

4312312772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31134 (or 31127 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 4312312772100 in words is "four trillion, three hundred twelve billion, three hundred twelve million, seven hundred seventy-two thousand, one hundred".