402212322000 has 480 divisors, whose sum is σ = 1442865864960. Its totient is φ = 104386636800.

The previous prime is 402212321983. The next prime is 402212322007. The reversal of 402212322000 is 223212204.

402212322000 is a `hidden beast` number, since 402 + 21 + 23 + 220 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402212322007) 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, 109384162 + ... + 109387838.

It is an arithmetic number, because the mean of its divisors is an integer number (3005970552).

Almost surely, 2^402212322000 is an apocalyptic number.

402212322000 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 402212322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721432932480).

402212322000 is an abundant number, since it is smaller than the sum of its proper divisors (1040653542960).

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

402212322000 is a wasteful number, since it uses less digits than its factorization.

402212322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3849 counting only the distinct ones).

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

Adding to 402212322000 its reverse (223212204), we get a palindrome (402435534204).

The spelling of 402212322000 in words is "four hundred two billion, two hundred twelve million, three hundred twenty-two thousand".