122138001360 has 360 divisors, whose sum is σ = 435084938496. Its totient is φ = 31870713600.

The previous prime is 122138001353. The next prime is 122138001367. The reversal of 122138001360 is 63100831221.

It is a happy number.

122138001360 is a `hidden beast` number, since 1 + 221 + 3 + 80 + 0 + 1 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (122138001353) and next prime (122138001367).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122138001367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24666885 + ... + 24671835.

Almost surely, 2^122138001360 is an apocalyptic number.

122138001360 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 122138001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217542469248).

122138001360 is an abundant number, since it is smaller than the sum of its proper divisors (312946937136).

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

122138001360 is an frugal number, since it uses more digits than its factorization.

122138001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 122138001360 its reverse (63100831221), we get a palindrome (185238832581).

The spelling of 122138001360 in words is "one hundred twenty-two billion, one hundred thirty-eight million, one thousand, three hundred sixty".