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1304400122124 = 22311232917098669
BaseRepresentation
bin10010111110110100010…
…011100101000100001100
311121200212212221211001020
4102332310103211010030
5132332402412401444
62435122205314140
7163145152045641
oct22766423450414
94550785854036
101304400122124
11463213955060
12190974b65950
13960098a0bb8
14471c1ad5dc8
1523de5385119
hex12fb44e510c

1304400122124 has 192 divisors, whose sum is σ = 3586633344000. Its totient is φ = 364793820160.

The previous prime is 1304400122059. The next prime is 1304400122159. The reversal of 1304400122124 is 4212210044031.

It is a super-2 number, since 2×13044001221242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304400122094 and 1304400122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150462862 + ... + 150471530.

It is an arithmetic number, because the mean of its divisors is an integer number (18680382000).

Almost surely, 21304400122124 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 1304400122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793316672000).

1304400122124 is an abundant number, since it is smaller than the sum of its proper divisors (2282233221876).

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

1304400122124 is a wasteful number, since it uses less digits than its factorization.

1304400122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10446 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1304400122124 its reverse (4212210044031), we get a palindrome (5516610166155).

The spelling of 1304400122124 in words is "one trillion, three hundred four billion, four hundred million, one hundred twenty-two thousand, one hundred twenty-four".