122653363950 has 216 divisors, whose sum is σ = 357549311808. Its totient is φ = 30130513920.

The previous prime is 122653363907. The next prime is 122653363993. The reversal of 122653363950 is 59363356221.

It is a happy number.

122653363950 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 3 + 3 + 639 + 5 + 0 = 666.

122653363950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122653363907) and next prime (122653363993).

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

It is a junction number, because it is equal to n+sod(n) for n = 122653363896 and 122653363905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 46161022 + ... + 46163678.

It is an arithmetic number, because the mean of its divisors is an integer number (1655320888).

Almost surely, 2^122653363950 is an apocalyptic number.

122653363950 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 122653363950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774655904).

122653363950 is an abundant number, since it is smaller than the sum of its proper divisors (234895947858).

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

122653363950 is a wasteful number, since it uses less digits than its factorization.

122653363950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 122653363950 in words is "one hundred twenty-two billion, six hundred fifty-three million, three hundred sixty-three thousand, nine hundred fifty".