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122120220200 = 235211367115121
BaseRepresentation
bin111000110111011101…
…1101010111000101000
3102200012202201221211112
41301232323222320220
54000100234021300
6132033512045452
711552152513256
oct1615673527050
9380182657745
10122120220200
1147877753a20
121b801993888
13b692534934
145ca6b775d6
15329b1b3e35
hex1c6eeeae28

122120220200 has 96 divisors (see below), whose sum is σ = 309846150720. Its totient is φ = 44392320000.

The previous prime is 122120220197. The next prime is 122120220221. The reversal of 122120220200 is 2022021221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8068640 + ... + 8083760.

It is an arithmetic number, because the mean of its divisors is an integer number (3227564070).

Almost surely, 2122120220200 is an apocalyptic number.

122120220200 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 122120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154923075360).

122120220200 is an abundant number, since it is smaller than the sum of its proper divisors (187725930520).

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

122120220200 is a wasteful number, since it uses less digits than its factorization.

122120220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18819 (or 18810 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122120220200 its reverse (2022021221), we get a palindrome (124142241421).

It can be divided in two parts, 12 and 2120220200, that added together give a palindrome (2120220212).

The spelling of 122120220200 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3671 7342 14684 15121 18355 29368 30242 36710 40381 60484 73420 75605 80762 91775 120968 146840 151210 161524 166331 183550 201905 302420 323048 332662 367100 378025 403810 604840 665324 734200 756050 807620 831655 1009525 1330648 1512100 1615240 1663310 2019050 3024200 3326620 4038100 4158275 6653240 8076200 8316550 16633100 33266200 55509191 111018382 222036764 277545955 444073528 555091910 610601101 1110183820 1221202202 1387729775 2220367640 2442404404 2775459550 3053005505 4884808808 5550919100 6106011010 11101838200 12212022020 15265027525 24424044040 30530055050 61060110100 122120220200