122610400340 has 48 divisors (see below), whose sum is σ = 262729030032. Its totient is φ = 48047440896.

The previous prime is 122610400327. The next prime is 122610400399. The reversal of 122610400340 is 43004016221.

122610400340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 48928555204 + 73681845136 = 221198^2 + 271444^2 .

It is a super-3 number, since 3×122610400340³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632192 + ... + 803048.

It is an arithmetic number, because the mean of its divisors is an integer number (5473521459).

Almost surely, 2^122610400340 is an apocalyptic number.

122610400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122610400340 is an abundant number, since it is smaller than the sum of its proper divisors (140118629692).

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

122610400340 is a wasteful number, since it uses less digits than its factorization.

122610400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171596 (or 171594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122610400340 its reverse (43004016221), we get a palindrome (165614416561).

The spelling of 122610400340 in words is "one hundred twenty-two billion, six hundred ten million, four hundred thousand, three hundred forty".