122022141401004 has 192 divisors, whose sum is σ = 314965678325760. Its totient is φ = 36530157081600.

The previous prime is 122022141400969. The next prime is 122022141401011. The reversal of 122022141401004 is 400104141220221.

It is a happy number.

It is a super-2 number, since 2×122022141401004² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10593113557 + ... + 10593125075.

It is an arithmetic number, because the mean of its divisors is an integer number (1640446241280).

Almost surely, 2^{122022141401004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022141401004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157482839162880).

122022141401004 is an abundant number, since it is smaller than the sum of its proper divisors (192943536924756).

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

122022141401004 is a wasteful number, since it uses less digits than its factorization.

122022141401004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17560 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122022141401004 its reverse (400104141220221), we get a palindrome (522126282621225).

The spelling of 122022141401004 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred forty-one million, four hundred one thousand, four".