122126644823040 has 4928 divisors, whose sum is σ = 545883585214464. Its totient is φ = 26013892608000.

The previous prime is 122126644823003. The next prime is 122126644823041. The reversal of 122126644823040 is 40328446621221.

122126644823040 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 266 + 4 + 4 + 82 + 304 + 0 = 666.

It is a super-3 number, since 3×122126644823040³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122126644823041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2002076144610 + ... + 2002076144670.

Almost surely, 2^{122126644823040} is an apocalyptic number.

122126644823040 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 122126644823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272941792607232).

122126644823040 is an abundant number, since it is smaller than the sum of its proper divisors (423756940391424).

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

122126644823040 is an equidigital number, since it uses as much as digits as its factorization.

122126644823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 122126644823040 in words is "one hundred twenty-two trillion, one hundred twenty-six billion, six hundred forty-four million, eight hundred twenty-three thousand, forty".