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122621064224 = 2541467200131
BaseRepresentation
bin111001000110011001…
…0001111010000100000
3102201111200011110200012
41302030302033100200
54002111443023344
6132155322544052
711600443564031
oct1621462172040
9381450143605
10122621064224
11480044374aa
121b921668028
13b742223c49
145d134aca88
1532ca14729e
hex1c8cc8f420

122621064224 has 48 divisors (see below), whose sum is σ = 247829059296. Its totient is φ = 59686771200.

The previous prime is 122621064221. The next prime is 122621064233. The reversal of 122621064224 is 422460126221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (122621064221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512639 + ... + 712769.

It is an arithmetic number, because the mean of its divisors is an integer number (5163105402).

Almost surely, 2122621064224 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 122621064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123914529648).

122621064224 is an abundant number, since it is smaller than the sum of its proper divisors (125207995072).

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

122621064224 is a wasteful number, since it uses less digits than its factorization.

122621064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200649 (or 200641 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 122621064224 in words is "one hundred twenty-two billion, six hundred twenty-one million, sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 467 656 934 1312 1868 3736 7472 14944 19147 38294 76588 153176 200131 306352 400262 612704 800524 1601048 3202096 6404192 8205371 16410742 32821484 65642968 93461177 131285936 186922354 262571872 373844708 747689416 1495378832 2990757664 3831908257 7663816514 15327633028 30655266056 61310532112 122621064224