122484100536 has 256 divisors, whose sum is σ = 396200448000. Its totient is φ = 34335239040.

The previous prime is 122484100463. The next prime is 122484100537. The reversal of 122484100536 is 635001484221.

It is a happy number.

122484100536 is a `hidden beast` number, since 1 + 22 + 484 + 100 + 53 + 6 = 666.

It is a super-2 number, since 2×122484100536² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 122484100536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122484100537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61641735 + ... + 61643721.

It is an arithmetic number, because the mean of its divisors is an integer number (1547658000).

Almost surely, 2^122484100536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122484100536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198100224000).

122484100536 is an abundant number, since it is smaller than the sum of its proper divisors (273716347464).

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

122484100536 is a wasteful number, since it uses less digits than its factorization.

122484100536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 122484100536 its reverse (635001484221), we get a palindrome (757485584757).

It can be divided in two parts, 12248 and 4100536, that added together give a square (4112784 = 2028²).

The spelling of 122484100536 in words is "one hundred twenty-two billion, four hundred eighty-four million, one hundred thousand, five hundred thirty-six".