Search a number
-
+
122010021120 = 2835132444111
BaseRepresentation
bin111000110100001011…
…1010010110100000000
3102122221002101021010010
41301220113102310000
53444334031133440
6132014534104520
711546344032201
oct1615027226400
9378832337103
10122010021120
11478205267a9
121b790aab140
13b67575ca90
145c9628d5a8
153291697580
hex1c685d2d00

122010021120 has 144 divisors (see below), whose sum is σ = 419644253952. Its totient is φ = 30033223680.

The previous prime is 122010021109. The next prime is 122010021127. The reversal of 122010021120 is 21120010221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122010021096 and 122010021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172136 + ... + 1271975.

It is an arithmetic number, because the mean of its divisors is an integer number (2914196208).

Almost surely, 2122010021120 is an apocalyptic number.

122010021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010021120 is an abundant number, since it is smaller than the sum of its proper divisors (297634232832).

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

122010021120 is a wasteful number, since it uses less digits than its factorization.

122010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444148 (or 2444134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122010021120 its reverse (21120010221), we get a palindrome (143130031341).

The spelling of 122010021120 in words is "one hundred twenty-two billion, ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 2444111 4888222 7332333 9776444 12220555 14664666 19552888 24441110 29329332 31773443 36661665 39105776 48882220 58658664 63546886 73323330 78211552 95320329 97764440 117317328 127093772 146646660 156423104 158867215 190640658 195528880 234634656 254187544 293293320 312846208 317734430 381281316 391057760 469269312 476601645 508375088 586586640 625692416 635468860 762562632 782115520 938538624 953203290 1016750176 1173173280 1270937720 1525125264 1564231040 1877077248 1906406580 2033500352 2346346560 2541875440 3050250528 3128462080 3812813160 4067000704 4692693120 5083750880 6100501056 7625626320 8134001408 9385386240 10167501760 12201002112 15251252640 20335003520 24402004224 30502505280 40670007040 61005010560 122010021120