201324000420 has 192 divisors, whose sum is σ = 663893314560. Its totient is φ = 50474409984.

The previous prime is 201324000413. The next prime is 201324000431. The reversal of 201324000420 is 24000423102.

201324000420 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 240 + 0 + 0 + 420 = 666.

It is a super-2 number, since 2×201324000420² (a number of 23 digits) contains 22 as substring.

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 = 201324000393 and 201324000402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957637 + ... + 8980083.

It is an arithmetic number, because the mean of its divisors is an integer number (3457777680).

Almost surely, 2^201324000420 is an apocalyptic number.

201324000420 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 201324000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331946657280).

201324000420 is an abundant number, since it is smaller than the sum of its proper divisors (462569314140).

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

201324000420 is a wasteful number, since it uses less digits than its factorization.

201324000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23459 (or 23451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201324000420 its reverse (24000423102), we get a palindrome (225324423522).

The spelling of 201324000420 in words is "two hundred one billion, three hundred twenty-four million, four hundred twenty", and thus it is an aban number.