122134022010 has 384 divisors, whose sum is σ = 444903653376. Its totient is φ = 22407390720.

The previous prime is 122134022009. The next prime is 122134022047. The reversal of 122134022010 is 10220431221.

It is a happy number.

122134022010 is a `hidden beast` number, since 122 + 1 + 340 + 2 + 201 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2042599 + ... + 2101541.

It is an arithmetic number, because the mean of its divisors is an integer number (1158603264).

Almost surely, 2^122134022010 is an apocalyptic number.

122134022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122134022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222451826688).

122134022010 is an abundant number, since it is smaller than the sum of its proper divisors (322769631366).

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

122134022010 is a wasteful number, since it uses less digits than its factorization.

122134022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59010 (or 59007 counting only the distinct ones).

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

Adding to 122134022010 its reverse (10220431221), we get a palindrome (132354453231).

The spelling of 122134022010 in words is "one hundred twenty-two billion, one hundred thirty-four million, twenty-two thousand, ten".