122040483840 has 1080 divisors, whose sum is σ = 506240075880. Its totient is φ = 28028436480.

The previous prime is 122040483811. The next prime is 122040483871. The reversal of 122040483840 is 48384040221.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×122040483840² (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 junction number, because it is equal to n+sod(n) for n = 122040483795 and 122040483804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6423183351 + ... + 6423183369.

It is an arithmetic number, because the mean of its divisors is an integer number (468740811).

Almost surely, 2^122040483840 is an apocalyptic number.

122040483840 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 122040483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253120037940).

122040483840 is an abundant number, since it is smaller than the sum of its proper divisors (384199592040).

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

122040483840 is an frugal number, since it uses more digits than its factorization.

122040483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 122040483840 in words is "one hundred twenty-two billion, forty million, four hundred eighty-three thousand, eight hundred forty".