122123312010 has 336 divisors, whose sum is σ = 396645546600. Its totient is φ = 26949065472.

The previous prime is 122123311963. The next prime is 122123312021. The reversal of 122123312010 is 10213321221.

122123312010 is a `hidden beast` number, since 122 + 12 + 331 + 201 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64236395601 + 57886916409 = 253449^2 + 240597^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10353196 + ... + 10364984.

Almost surely, 2^122123312010 is an apocalyptic number.

122123312010 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 122123312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198322773300).

122123312010 is an abundant number, since it is smaller than the sum of its proper divisors (274522234590).

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

122123312010 is a wasteful number, since it uses less digits than its factorization.

122123312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122123312010 its reverse (10213321221), we get a palindrome (132336633231).

The spelling of 122123312010 in words is "one hundred twenty-two billion, one hundred twenty-three million, three hundred twelve thousand, ten".