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1010122201220 = 2251119751321779
BaseRepresentation
bin11101011001011111111…
…10011001100010000100
310120120022011010112011112
432230233332121202010
5113022212240414340
62052013240224152
7132656525020526
oct16545776314204
93516264115145
101010122201220
1135a432715550
12143927a6b058
137433c3a0b12
1436c668d9a16
151b420212065
hexeb2ff99884

1010122201220 has 96 divisors (see below), whose sum is σ = 2439143884800. Its totient is φ = 347520240000.

The previous prime is 1010122201211. The next prime is 1010122201223. The reversal of 1010122201220 is 221022210101.

1010122201220 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10101222012202 (a number of 25 digits) contains 22 as substring.

1010122201220 is strictly pandigital in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1010122201195 and 1010122201204.

It is not an unprimeable number, because it can be changed into a prime (1010122201223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978291 + ... + 3300069.

It is an arithmetic number, because the mean of its divisors is an integer number (25407748800).

Almost surely, 21010122201220 is an apocalyptic number.

1010122201220 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 1010122201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219571942400).

1010122201220 is an abundant number, since it is smaller than the sum of its proper divisors (1429021683580).

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

1010122201220 is a wasteful number, since it uses less digits than its factorization.

1010122201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322569 (or 322567 counting only the distinct ones).

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

Adding to 1010122201220 its reverse (221022210101), we get a palindrome (1231144411321).

The spelling of 1010122201220 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 751 836 1045 1502 2090 3004 3755 4180 7510 8261 14269 15020 16522 28538 33044 41305 57076 71345 82610 142690 156959 165220 285380 313918 321779 627836 643558 784795 1287116 1569590 1608895 3139180 3217790 3539569 6113801 6435580 7079138 12227602 14158276 17697845 24455204 30569005 35395690 61138010 67251811 70791380 122276020 134503622 241656029 269007244 336259055 483312058 672518110 966624116 1208280145 1345036220 2416560290 2658216319 4591464551 4833120580 5316432638 9182929102 10632865276 13291081595 18365858204 22957322755 26582163190 45914645510 50506110061 53164326380 91829291020 101012220122 202024440244 252530550305 505061100610 1010122201220