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122066652224 = 26111409123059
BaseRepresentation
bin111000110101110111…
…1010100110001000000
3102200002000221102101102
41301223233110301000
53444443030332344
6132024315553532
711550632265356
oct1615357246100
9380060842342
10122066652224
114784a496570
121b7a7a5b8a8
13b6843ca4ca
145c9d9d17d6
153296631e4e
hex1c6bbd4c40

122066652224 has 56 divisors (see below), whose sum is σ = 264436250400. Its totient is φ = 55445012480.

The previous prime is 122066652209. The next prime is 122066652229. The reversal of 122066652224 is 422256660221.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (122066652229) 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, 930407 + ... + 1053465.

It is an arithmetic number, because the mean of its divisors is an integer number (4722075900).

Almost surely, 2122066652224 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 122066652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132218125200).

122066652224 is an abundant number, since it is smaller than the sum of its proper divisors (142369598176).

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

122066652224 is a wasteful number, since it uses less digits than its factorization.

122066652224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124491 (or 124481 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 122066652224 in words is "one hundred twenty-two billion, sixty-six million, six hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1409 2818 5636 11272 15499 22544 30998 45088 61996 90176 123059 123992 246118 247984 492236 495968 984472 991936 1353649 1968944 2707298 3937888 5414596 7875776 10829192 21658384 43316768 86633536 173390131 346780262 693560524 1387121048 1907291441 2774242096 3814582882 5548484192 7629165764 11096968384 15258331528 30516663056 61033326112 122066652224