Search a number
-
+
122011122020 = 225107179443719
BaseRepresentation
bin111000110100001101…
…1011111100101100100
3102122221011110012021012
41301220123133211210
53444334321401040
6132015013441352
711546356265624
oct1615033374544
9378834405235
10122011122020
1147821108937
121b791340258
13b675a56bb8
145c96498884
153291813865
hex1c686df964

122011122020 has 96 divisors (see below), whose sum is σ = 261012326400. Its totient is φ = 47902984064.

The previous prime is 122011121989. The next prime is 122011122091. The reversal of 122011122020 is 20221110221.

It is a junction number, because it is equal to n+sod(n) for n = 122011121986 and 122011122004.

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, 169695221 + ... + 169695939.

It is an arithmetic number, because the mean of its divisors is an integer number (2718878400).

Almost surely, 2122011122020 is an apocalyptic number.

122011122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011122020 is an abundant number, since it is smaller than the sum of its proper divisors (139001204380).

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

122011122020 is a wasteful number, since it uses less digits than its factorization.

122011122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122011122020 its reverse (20221110221), we get a palindrome (142232232241).

The spelling of 122011122020 in words is "one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 107 179 214 358 428 443 535 716 719 886 895 1070 1438 1772 1790 2140 2215 2876 3580 3595 4430 7190 8860 14380 19153 38306 47401 76612 76933 79297 94802 95765 128701 153866 158594 189604 191530 237005 257402 307732 317188 318517 383060 384665 396485 474010 514804 637034 643505 769330 792970 948020 1274068 1287010 1538660 1585940 1592585 2574020 3185170 6370340 8484779 13771007 16969558 27542014 33939116 34081319 42423895 55084028 57014543 68162638 68855035 84847790 114029086 136325276 137710070 169695580 170406595 228058172 275420140 285072715 340813190 570145430 681626380 1140290860 6100556101 12201112202 24402224404 30502780505 61005561010 122011122020