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122211044340 = 22357111011811447
BaseRepresentation
bin111000111010001011…
…0001000101111110100
3102200110002122022010120
41301310112020233310
54000242011404330
6132050514451540
711554334510550
oct1616426105764
9380402568116
10122211044340
1147913a484a0
121b828293bb0
13b6a82b4a28
145cb4c5a860
1532a4154c10
hex1c74588bf4

122211044340 has 384 divisors, whose sum is σ = 433531478016. Its totient is φ = 24986880000.

The previous prime is 122211044327. The next prime is 122211044357. The reversal of 122211044340 is 43440112221.

It is a self number, because there is not a number n which added to its sum of digits gives 122211044340.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 84457497 + ... + 84458943.

It is an arithmetic number, because the mean of its divisors is an integer number (1128988224).

Almost surely, 2122211044340 is an apocalyptic number.

122211044340 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 122211044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216765739008).

122211044340 is an abundant number, since it is smaller than the sum of its proper divisors (311320433676).

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

122211044340 is a wasteful number, since it uses less digits than its factorization.

122211044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1757 counting only the distinct ones).

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

Adding to 122211044340 its reverse (43440112221), we get a palindrome (165651156561).

The spelling of 122211044340 in words is "one hundred twenty-two billion, two hundred eleven million, forty-four thousand, three hundred forty".