402412120 has 192 divisors, whose sum is σ = 1068681600. Its totient is φ = 136012800.

The previous prime is 402412099. The next prime is 402412159. The reversal of 402412120 is 21214204.

It is a junction number, because it is equal to n+sod(n) for n = 402412094 and 402412103.

It is a congruent number.

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, 6596890 + ... + 6596950.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2^402412120 is an apocalyptic number.

402412120 is a gapful number since it is divisible by the number (40) 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 402412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

402412120 is an abundant number, since it is smaller than the sum of its proper divisors (666269480).

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

402412120 is a wasteful number, since it uses less digits than its factorization.

402412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 402412120 is about 20060.2123617872. The cubic root of 402412120 is about 738.2843869376.

Adding to 402412120 its reverse (21214204), we get a palindrome (423626324).

The spelling of 402412120 in words is "four hundred two million, four hundred twelve thousand, one hundred twenty".