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122213029224 = 23311131911931571
BaseRepresentation
bin111000111010001110…
…1101101010101101000
3102200110020101010212210
41301310131231111220
54000243013413344
6132051025205120
711554360415436
oct1616435552550
9380406333783
10122213029224
11479150837a0
121b828a907a0
13b6a882b310
145cb5215d56
1532a43e7db9
hex1c7476d568

122213029224 has 256 divisors, whose sum is σ = 378396748800. Its totient is φ = 32338483200.

The previous prime is 122213029177. The next prime is 122213029321. The reversal of 122213029224 is 422920312221.

It is a junction number, because it is equal to n+sod(n) for n = 122213029191 and 122213029200.

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, 77792359 + ... + 77793929.

It is an arithmetic number, because the mean of its divisors is an integer number (1478112300).

Almost surely, 2122213029224 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 122213029224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189198374400).

122213029224 is an abundant number, since it is smaller than the sum of its proper divisors (256183719576).

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

122213029224 is a wasteful number, since it uses less digits than its factorization.

122213029224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 122213029224 in words is "one hundred twenty-two billion, two hundred thirteen million, twenty-nine thousand, two hundred twenty-four".