201082123572 has 72 divisors (see below), whose sum is σ = 517641213600. Its totient is φ = 60707338560.

The previous prime is 201082123531. The next prime is 201082123589. The reversal of 201082123572 is 275321280102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133179 + ... + 647997.

It is an arithmetic number, because the mean of its divisors is an integer number (7189461300).

Almost surely, 2^201082123572 is an apocalyptic number.

201082123572 is a gapful number since it is divisible by the number (22) 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 201082123572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258820606800).

201082123572 is an abundant number, since it is smaller than the sum of its proper divisors (316559090028).

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

201082123572 is a wasteful number, since it uses less digits than its factorization.

201082123572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515117 (or 515104 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 201082123572 in words is "two hundred one billion, eighty-two million, one hundred twenty-three thousand, five hundred seventy-two".