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122244110040 = 233513436412843
BaseRepresentation
bin111000111011001010…
…0010001011011011000
3102200112101212012202010
41301312110101123120
54000323443010130
6132054055305520
711555215535163
oct1616624213330
9380471765663
10122244110040
1147930682218
121b83737b2a0
13b6b20c1230
145cb93c6ada
1532a6ed70b0
hex1c765116d8

122244110040 has 256 divisors, whose sum is σ = 404900052480. Its totient is φ = 29334896640.

The previous prime is 122244110039. The next prime is 122244110063. The reversal of 122244110040 is 40011442221.

122244110040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122244109989 and 122244110016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42996859 + ... + 42999701.

It is an arithmetic number, because the mean of its divisors is an integer number (1581640830).

Almost surely, 2122244110040 is an apocalyptic number.

122244110040 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 122244110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202450026240).

122244110040 is an abundant number, since it is smaller than the sum of its proper divisors (282655942440).

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

122244110040 is a wasteful number, since it uses less digits than its factorization.

122244110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 122244110040 its reverse (40011442221), we get a palindrome (162255552261).

The spelling of 122244110040 in words is "one hundred twenty-two billion, two hundred forty-four million, one hundred ten thousand, forty".