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12011122021110 = 2352331791959753
BaseRepresentation
bin1010111011001000111010…
…1010010101001011110110
31120112020210202010022112020
42232302032222111023312
53033242234214133420
641313455553334010
72346526541435022
oct256621652251366
946466722108466
1012011122021110
113910985284993
12141ba04567306
1369184a99b074
142d74acb73382
1515c684564340
hexaec8ea952f6

12011122021110 has 128 divisors (see below), whose sum is σ = 30208257054720. Its totient is φ = 3050667518976.

The previous prime is 12011122021099. The next prime is 12011122021111. The reversal of 12011122021110 is 1112022111021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011122021110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011122021111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200982994 + ... + 201042746.

It is an arithmetic number, because the mean of its divisors is an integer number (236002008240).

Almost surely, 212011122021110 is an apocalyptic number.

12011122021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011122021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104128527360).

12011122021110 is an abundant number, since it is smaller than the sum of its proper divisors (18197135033610).

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

12011122021110 is a wasteful number, since it uses less digits than its factorization.

12011122021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61022.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011122021110 its reverse (1112022111021), we get a palindrome (13123144132131).

The spelling of 12011122021110 in words is "twelve trillion, eleven billion, one hundred twenty-two million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 317 345 634 690 919 951 1585 1838 1902 2757 3170 4595 4755 5514 7291 9190 9510 13785 14582 21137 21873 27570 36455 42274 43746 59753 63411 72910 105685 109365 119506 126822 179259 211370 218730 291323 298765 317055 358518 582646 597530 634110 873969 896295 1374319 1456615 1747938 1792590 2748638 2913230 4122957 4369845 6700429 6871595 8245914 8739690 13400858 13743190 18941701 20101287 20614785 33502145 37883402 40202574 41229570 54913007 56825103 67004290 94708505 100506435 109826014 113650206 164739021 189417010 201012870 274565035 284125515 329478042 435659123 549130070 568251030 823695105 871318246 1262999161 1306977369 1647390210 2178295615 2525998322 2613954738 3788997483 4356591230 6314995805 6534886845 7577994966 12629991610 13069773690 17407423219 18944987415 34814846438 37889974830 52222269657 87037116095 104444539314 174074232190 261111348285 400370734037 522222696570 800741468074 1201112202111 2001853670185 2402224404222 4003707340370 6005561010555 12011122021110