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122211200020 = 225713347193513
BaseRepresentation
bin111000111010001011…
…0101110110000010100
3102200110002221012200111
41301310112232300110
54000242031400040
6132050522052404
711554336026460
oct1616426566024
9380402835614
10122211200020
1147914044458
121b82834a104
13b6a833a850
145cb4c9b4a0
1532a4185dea
hex1c745aec14

122211200020 has 96 divisors (see below), whose sum is σ = 316780869888. Its totient is φ = 38566167552.

The previous prime is 122211200009. The next prime is 122211200081. The reversal of 122211200020 is 20002112221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534784 + ... + 728296.

It is an arithmetic number, because the mean of its divisors is an integer number (3299800728).

Almost surely, 2122211200020 is an apocalyptic number.

122211200020 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 122211200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158390434944).

122211200020 is an abundant number, since it is smaller than the sum of its proper divisors (194569669868).

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

122211200020 is a wasteful number, since it uses less digits than its factorization.

122211200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193889 (or 193887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122211200020 its reverse (20002112221), we get a palindrome (142213312241).

The spelling of 122211200020 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 347 364 455 694 910 1388 1735 1820 2429 3470 4511 4858 6940 9022 9716 12145 18044 22555 24290 31577 45110 48580 63154 90220 126308 157885 193513 315770 387026 631540 774052 967565 1354591 1935130 2515669 2709182 3870260 5031338 5418364 6772955 10062676 12578345 13545910 17609683 25156690 27091820 35219366 50313380 67149011 70438732 88048415 134298022 176096830 268596044 335745055 352193660 470043077 671490110 872937143 940086154 1342980220 1745874286 1880172308 2350215385 3491748572 4364685715 4700430770 6110560001 8729371430 9400861540 12221120002 17458742860 24442240004 30552800005 61105600010 122211200020