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12010121121119 = 1117383892318793
BaseRepresentation
bin1010111011000101001100…
…0000001100110101011111
31120112011012222202022212012
42232301103000030311133
53033233212001333434
641313212400501435
72346462666065162
oct256612300146537
946464188668765
1012010121121119
1139105112a6a10
12141b78531a87b
1369171b507354
142d7415c6dad9
1515c6267563ce
hexaec5300cd5f

12010121121119 has 32 divisors (see below), whose sum is σ = 13911173259264. Its totient is φ = 10247515130880.

The previous prime is 12010121121109. The next prime is 12010121121151. The reversal of 12010121121119 is 91112112101021.

12010121121119 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12010121121119 - 28 = 12010121120863 is a prime.

It is a super-2 number, since 2×120101211211192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12010121121094 and 12010121121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010121121109) 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, 639064787 + ... + 639083579.

It is an arithmetic number, because the mean of its divisors is an integer number (434724164352).

Almost surely, 212010121121119 is an apocalyptic number.

12010121121119 is a deficient number, since it is larger than the sum of its proper divisors (1901052138145).

12010121121119 is a wasteful number, since it uses less digits than its factorization.

12010121121119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28127.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 12010121121119 in words is "twelve trillion, ten billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 11 17 187 383 4213 6511 8923 18793 71621 98153 151691 206723 319481 1668601 3417509 3514291 7197719 37592599 58097653 79174909 122361223 167689939 639074183 1345973453 1844589329 2850728963 31358018593 64225246637 706477713007 1091829192829 12010121121119