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12132011023121 = 1141101271982801
BaseRepresentation
bin1011000010001011010000…
…1101010001101100010001
31120221210211201002220112002
42300202310031101230101
53042232324310214441
641445211404243345
72361336354132023
oct260426415215421
946853751086462
1012132011023121
11395817aa3a410
12143b321b40555
136a00750cac12
142dd29a1b2013
151608ac5c2b9b
hexb08b4351b11

12132011023121 has 32 divisors (see below), whose sum is σ = 13742496778752. Its totient is φ = 10614240000000.

The previous prime is 12132011023037. The next prime is 12132011023169.

12132011023121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12132011023121 - 210 = 12132011022097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12132011023093 and 12132011023102.

It is not an unprimeable number, because it can be changed into a prime (12132011023421) 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, 11852921 + ... + 12835721.

It is an arithmetic number, because the mean of its divisors is an integer number (429453024336).

Almost surely, 212132011023121 is an apocalyptic number.

12132011023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12132011023121 is a deficient number, since it is larger than the sum of its proper divisors (1610485755631).

12132011023121 is a wasteful number, since it uses less digits than its factorization.

12132011023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983225.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1213201 and 1023121, that added together give a palindrome (2236322).

The spelling of 12132011023121 in words is "twelve trillion, one hundred thirty-two billion, eleven million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 11 41 101 271 451 1111 2981 4141 11111 27371 45551 122221 301081 982801 1122211 10810811 12344321 40294841 99262901 266339071 443243251 1091891911 2929729781 4069778941 10919901911 26900246171 44767568351 120118921021 295902707881 1102910093011 12132011023121