201009123000 has 1152 divisors, whose sum is σ = 826520647680. Its totient is φ = 43893964800.

The previous prime is 201009122999. The next prime is 201009123019. The reversal of 201009123000 is 321900102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1582748937 + ... + 1582749063.

It is an arithmetic number, because the mean of its divisors is an integer number (717465840).

Almost surely, 2^201009123000 is an apocalyptic number.

201009123000 is a gapful number since it is divisible by the number (20) 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 201009123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413260323840).

201009123000 is an abundant number, since it is smaller than the sum of its proper divisors (625511524680).

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

201009123000 is a wasteful number, since it uses less digits than its factorization.

201009123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 201009123000 in words is "two hundred one billion, nine million, one hundred twenty-three thousand".