201426120 has 192 divisors, whose sum is σ = 759957120. Its totient is φ = 45315072.

The previous prime is 201426107. The next prime is 201426131. The reversal of 201426120 is 21624102.

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 = 201426093 and 201426102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168244 + ... + 169436.

It is an arithmetic number, because the mean of its divisors is an integer number (3958110).

Almost surely, 2^201426120 is an apocalyptic number.

201426120 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 201426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379978560).

201426120 is an abundant number, since it is smaller than the sum of its proper divisors (558531000).

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

201426120 is a wasteful number, since it uses less digits than its factorization.

201426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1277 counting only the distinct ones).

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

The square root of 201426120 is about 14192.4670159913. The cubic root of 201426120 is about 586.1902568828.

It can be divided in two parts, 20142 and 6120, that added together give a palindrome (26262).

The spelling of 201426120 in words is "two hundred one million, four hundred twenty-six thousand, one hundred twenty".