122103689760 has 432 divisors, whose sum is σ = 467932780224. Its totient is φ = 30054675456.

The previous prime is 122103689749. The next prime is 122103689789. The reversal of 122103689760 is 67986301221.

122103689760 is a `hidden beast` number, since 1 + 2 + 210 + 368 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×122103689760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6561429 + ... + 6580011.

It is an arithmetic number, because the mean of its divisors is an integer number (1083177732).

Almost surely, 2^122103689760 is an apocalyptic number.

122103689760 is a gapful number since it is divisible by the number (10) 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 122103689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233966390112).

122103689760 is an abundant number, since it is smaller than the sum of its proper divisors (345829090464).

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

122103689760 is a wasteful number, since it uses less digits than its factorization.

122103689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 122103689760 in words is "one hundred twenty-two billion, one hundred three million, six hundred eighty-nine thousand, seven hundred sixty".