201122413020 has 384 divisors, whose sum is σ = 669504890880. Its totient is φ = 50013849600.

The previous prime is 201122413007. The next prime is 201122413031. The reversal of 201122413020 is 20314221102.

It is a happy number.

201122413020 is a `hidden beast` number, since 201 + 122 + 41 + 302 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201122412984 and 201122413002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84044944 + ... + 84047336.

It is an arithmetic number, because the mean of its divisors is an integer number (1743502320).

Almost surely, 2^201122413020 is an apocalyptic number.

201122413020 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 201122413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334752445440).

201122413020 is an abundant number, since it is smaller than the sum of its proper divisors (468382477860).

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

201122413020 is a wasteful number, since it uses less digits than its factorization.

201122413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201122413020 its reverse (20314221102), we get a palindrome (221436634122).

The spelling of 201122413020 in words is "two hundred one billion, one hundred twenty-two million, four hundred thirteen thousand, twenty".