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1222172365140 = 22325292203106279
BaseRepresentation
bin10001110010001111001…
…001100101000101010100
311022211122021220221222100
4101302033021211011110
5130011002111141030
62333242551202100
7154204366461006
oct21621711450524
94284567827870
101222172365140
11431358490201
12178a47076330
138b3340696ac
1443221136376
1521bd1515360
hex11c8f265154

1222172365140 has 144 divisors (see below), whose sum is σ = 3836869545600. Its totient is φ = 314528465664.

The previous prime is 1222172365103. The next prime is 1222172365151. The reversal of 1222172365140 is 415632712221.

1222172365140 is a `hidden beast` number, since 1 + 2 + 221 + 72 + 365 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×12221723651402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1222172365095 and 1222172365104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11446521 + ... + 11552799.

It is an arithmetic number, because the mean of its divisors is an integer number (26644927400).

Almost surely, 21222172365140 is an apocalyptic number.

1222172365140 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 1222172365140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918434772800).

1222172365140 is an abundant number, since it is smaller than the sum of its proper divisors (2614697180460).

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

1222172365140 is a wasteful number, since it uses less digits than its factorization.

1222172365140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108526 (or 108521 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1222172365140 in words is "one trillion, two hundred twenty-two billion, one hundred seventy-two million, three hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2203 2610 4406 5220 6609 8812 11015 13218 19827 22030 26436 33045 39654 44060 63887 66090 79308 99135 106279 127774 132180 191661 198270 212558 255548 318837 319435 383322 396540 425116 531395 574983 637674 638870 766644 956511 958305 1062790 1149966 1275348 1277740 1594185 1913022 1916610 2125580 2299932 2874915 3082091 3188370 3826044 3833220 4782555 5749830 6164182 6376740 9246273 9565110 11499660 12328364 15410455 18492546 19130220 27738819 30820910 36985092 46231365 55477638 61641820 92462730 110955276 138694095 184925460 234132637 277388190 468265274 554776380 702397911 936530548 1170663185 1404795822 2107193733 2341326370 2809591644 3511989555 4214387466 4682652740 6789846473 7023979110 8428774932 10535968665 13579692946 14047958220 20369539419 21071937330 27159385892 33949232365 40739078838 42143874660 61108618257 67898464730 81478157676 101847697095 122217236514 135796929460 203695394190 244434473028 305543091285 407390788380 611086182570 1222172365140