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122422204144 = 2423215839137
BaseRepresentation
bin111001000000011101…
…1101001011011110000
3102200222210222022221001
41302000323221123300
54001210041013034
6132123500411344
711562510365032
oct1620073513360
9380883868831
10122422204144
1147a12162a29
121b886b46b54
13b70cc78766
145cd4d05c52
1532b7965a14
hex1c80ee96f0

122422204144 has 60 divisors (see below), whose sum is σ = 248137930656. Its totient is φ = 58506359296.

The previous prime is 122422204139. The next prime is 122422204153. The reversal of 122422204144 is 441402224221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13393944 + ... + 13403080.

Almost surely, 2122422204144 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 122422204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124068965328).

122422204144 is an abundant number, since it is smaller than the sum of its proper divisors (125715726512).

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

122422204144 is a wasteful number, since it uses less digits than its factorization.

122422204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 122422204144 its reverse (441402224221), we get a palindrome (563824428365).

The spelling of 122422204144 in words is "one hundred twenty-two billion, four hundred twenty-two million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 1583 2116 3166 4232 6332 8464 9137 12664 18274 25328 36409 36548 72818 73096 145636 146192 210151 291272 420302 582544 837407 840604 1674814 1681208 3349628 3362416 4833473 6699256 9666946 13398512 14463871 19333892 28927742 38667784 57855484 77335568 115710968 231421936 332669033 665338066 1330676132 2661352264 5322704528 7651387759 15302775518 30605551036 61211102072 122422204144