201242220312 has 384 divisors, whose sum is σ = 611570856960. Its totient is φ = 54989383680.

The previous prime is 201242220293. The next prime is 201242220313. The reversal of 201242220312 is 213022242102.

It is a super-2 number, since 2×201242220312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201242220313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434648193 + ... + 434648655.

It is an arithmetic number, because the mean of its divisors is an integer number (1592632440).

Almost surely, 2^201242220312 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 201242220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305785428480).

201242220312 is an abundant number, since it is smaller than the sum of its proper divisors (410328636648).

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

201242220312 is a wasteful number, since it uses less digits than its factorization.

201242220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201242220312 its reverse (213022242102), we get a palindrome (414264462414).

The spelling of 201242220312 in words is "two hundred one billion, two hundred forty-two million, two hundred twenty thousand, three hundred twelve".