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122066026720 = 25511349119867
BaseRepresentation
bin111000110101110110…
…0111100000011100000
3102200001222202122100121
41301223230330003200
53444442400323340
6132024254330024
711550624051631
oct1615354740340
9380058678317
10122066026720
114784a0a9620
121b7a77b9914
13b68423b8a1
145c9d8ab888
15329655b94a
hex1c6bb3c0e0

122066026720 has 96 divisors (see below), whose sum is σ = 314703398016. Its totient is φ = 44372697600.

The previous prime is 122066026717. The next prime is 122066026763. The reversal of 122066026720 is 27620660221.

It is a super-2 number, since 2×1220660267202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6134227 + ... + 6154093.

It is an arithmetic number, because the mean of its divisors is an integer number (3278160396).

Almost surely, 2122066026720 is an apocalyptic number.

122066026720 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 122066026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157351699008).

122066026720 is an abundant number, since it is smaller than the sum of its proper divisors (192637371296).

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

122066026720 is a wasteful number, since it uses less digits than its factorization.

122066026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23384 (or 23376 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

Adding to 122066026720 its reverse (27620660221), we get a palindrome (149686686941).

The spelling of 122066026720 in words is "one hundred twenty-two billion, sixty-six million, twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 3491 6982 13964 17455 19867 27928 34910 38401 39734 55856 69820 76802 79468 99335 111712 139640 153604 158936 192005 198670 218537 279280 307208 317872 384010 397340 437074 558560 614416 635744 768020 794680 874148 1092685 1228832 1536040 1589360 1748296 2185370 3072080 3178720 3496592 4370740 6144160 6993184 8741480 17482960 34965920 69355697 138711394 277422788 346778485 554845576 693556970 762912667 1109691152 1387113940 1525825334 2219382304 2774227880 3051650668 3814563335 5548455760 6103301336 7629126670 11096911520 12206602672 15258253340 24413205344 30516506680 61033013360 122066026720