122180284440 has 512 divisors, whose sum is σ = 436866048000. Its totient is φ = 30302097408.

The previous prime is 122180284427. The next prime is 122180284451. The reversal of 122180284440 is 44482081221.

It is a happy number.

122180284440 is a `hidden beast` number, since 12 + 2 + 180 + 28 + 4 + 440 = 666.

It is a super-2 number, since 2×122180284440² (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 = 122180284395 and 122180284404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 267352692 + ... + 267353148.

It is an arithmetic number, because the mean of its divisors is an integer number (853254000).

Almost surely, 2^122180284440 is an apocalyptic number.

122180284440 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 122180284440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218433024000).

122180284440 is an abundant number, since it is smaller than the sum of its proper divisors (314685763560).

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

122180284440 is a wasteful number, since it uses less digits than its factorization.

122180284440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 122180284440 in words is "one hundred twenty-two billion, one hundred eighty million, two hundred eighty-four thousand, four hundred forty".