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1134121066122 = 2311371932519587
BaseRepresentation
bin10000100000001110111…
…000100001111010001010
311000102100211212112001110
4100200032320201322022
5122040134443103442
62225001422231150
7144636402001302
oct20401670417212
94012324775043
101134121066122
113a7a83858aa0
12163972a254b6
1382c40ba0025
143cc6ad7c602
151e77b2b669c
hex1080ee21e8a

1134121066122 has 128 divisors (see below), whose sum is σ = 2564935123968. Its totient is φ = 331292160000.

The previous prime is 1134121066121. The next prime is 1134121066123. The reversal of 1134121066122 is 2216601214311.

It is an interprime number because it is at equal distance from previous prime (1134121066121) and next prime (1134121066123).

It is a super-2 number, since 2×11341210661222 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1134121066122.

It is not an unprimeable number, because it can be changed into a prime (1134121066121) 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, 118293013 + ... + 118302599.

It is an arithmetic number, because the mean of its divisors is an integer number (20038555656).

Almost surely, 21134121066122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134121066122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282467561984).

1134121066122 is an abundant number, since it is smaller than the sum of its proper divisors (1430814057846).

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

1134121066122 is a wasteful number, since it uses less digits than its factorization.

1134121066122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10084.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1134121066122 in words is "one trillion, one hundred thirty-four billion, one hundred twenty-one million, sixty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 193 222 251 386 407 502 579 753 814 1158 1221 1506 2123 2442 2761 4246 5522 6369 7141 8283 9287 9587 12738 14282 16566 18574 19174 21423 27861 28761 42846 48443 55722 57522 78551 96886 102157 105457 145329 157102 204314 210914 235653 290658 306471 316371 354719 471306 532873 612942 632742 709438 1064157 1065746 1598619 1792391 1850291 2128314 2406337 3197238 3584782 3700582 3901909 4812674 5377173 5550873 7219011 7803818 10754346 11101746 11705727 14438022 19716301 20353201 23411454 26469707 39432602 40706402 52939414 59148903 61059603 68460767 79409121 89034469 118297806 122119206 136921534 158818242 178068938 205382301 267103407 410764602 464423041 534206814 753068437 928846082 979379159 1393269123 1506136874 1958758318 2259205311 2786538246 2938137477 4518410622 5108653451 5876274954 10217306902 15325960353 17183652517 30651920706 34367305034 51550957551 103101915102 189020177687 378040355374 567060533061 1134121066122