402122124000 has 384 divisors, whose sum is σ = 1465420844160. Its totient is φ = 107108352000.

The previous prime is 402122123959. The next prime is 402122124017. The reversal of 402122124000 is 421221204.

402122124000 is a `hidden beast` number, since 40 + 2 + 1 + 221 + 2 + 400 + 0 = 666.

It is a super-2 number, since 2×402122124000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128842440 + ... + 128845560.

It is an arithmetic number, because the mean of its divisors is an integer number (3816200115).

Almost surely, 2^402122124000 is an apocalyptic number.

402122124000 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 402122124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732710422080).

402122124000 is an abundant number, since it is smaller than the sum of its proper divisors (1063298720160).

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

402122124000 is a wasteful number, since it uses less digits than its factorization.

402122124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 402122124000 its reverse (421221204), we get a palindrome (402543345204).

The spelling of 402122124000 in words is "four hundred two billion, one hundred twenty-two million, one hundred twenty-four thousand".