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122200101320 = 2351119118112377
BaseRepresentation
bin111000111001110110…
…0011001000111001000
3102200102100001100010112
41301303230121013020
54000231211220240
6132045444133452
711554142502653
oct1616354310710
9380370040115
10122200101320
1147908853880
121b824697288
13b6a5c52b7b
145cb360c89a
1532a31e2665
hex1c73b191c8

122200101320 has 128 divisors (see below), whose sum is σ = 316025193600. Its totient is φ = 42058598400.

The previous prime is 122200101307. The next prime is 122200101337. The reversal of 122200101320 is 23101002221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122200101295 and 122200101304.

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, 9866972 + ... + 9879348.

It is an arithmetic number, because the mean of its divisors is an integer number (2468946825).

Almost surely, 2122200101320 is an apocalyptic number.

122200101320 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 122200101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158012596800).

122200101320 is an abundant number, since it is smaller than the sum of its proper divisors (193825092280).

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

122200101320 is a wasteful number, since it uses less digits than its factorization.

122200101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13599 (or 13595 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122200101320 its reverse (23101002221), we get a palindrome (145301103541).

Subtracting from 122200101320 its reverse (23101002221), we obtain a palindrome (99099099099).

The spelling of 122200101320 in words is "one hundred twenty-two billion, two hundred million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1181 1672 2090 2362 4180 4724 5905 8360 9448 11810 12377 12991 22439 23620 24754 25982 44878 47240 49508 51964 61885 64955 89756 99016 103928 112195 123770 129910 136147 179512 224390 235163 246829 247540 259820 272294 448780 470326 493658 495080 519640 544588 680735 897560 940652 987316 1089176 1175815 1234145 1361470 1881304 1974632 2351630 2468290 2586793 2722940 4703260 4936580 5173586 5445880 9406520 9873160 10347172 12933965 14617237 20694344 25867930 29234474 51735860 58468948 73086185 103471720 116937896 146172370 160789607 277727503 292344740 321579214 555455006 584689480 643158428 803948035 1110910012 1286316856 1388637515 1607896070 2221820024 2777275030 3055002533 3215792140 5554550060 6110005066 6431584280 11109100120 12220010132 15275012665 24440020264 30550025330 61100050660 122200101320