212020001005728 has 96 divisors (see below), whose sum is σ = 557307277998912. Its totient is φ = 70577497036800.

The previous prime is 212020001005727. The next prime is 212020001005819. The reversal of 212020001005728 is 827500100020212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212020001005695 and 212020001005704.

It is not an unprimeable number, because it can be changed into a prime (212020001005723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2364850950 + ... + 2364940602.

It is an arithmetic number, because the mean of its divisors is an integer number (5805284145822).

Almost surely, 2^{212020001005728} is an apocalyptic number.

It is an amenable number.

212020001005728 is an abundant number, since it is smaller than the sum of its proper divisors (345287276993184).

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

212020001005728 is a wasteful number, since it uses less digits than its factorization.

212020001005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122798 (or 122790 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 212020001005728 in words is "two hundred twelve trillion, twenty billion, one million, five thousand, seven hundred twenty-eight".