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12000122100021 = 3111679091239521
BaseRepresentation
bin1010111010011111111100…
…0000111101100100110101
31120111012102010211102112110
42232213333000331210311
53033102222224200041
641304440251041233
72345660132601156
oct256477700754465
946435363742473
1012000122100021
1139072500a0410
121419854740219
136907b6aa0613
142d6b47cc392d
1515c23d9dd516
hexae9ff03d935

12000122100021 has 32 divisors (see below), whose sum is σ = 17561247169536. Its totient is φ = 7228426176000.

The previous prime is 12000122099983. The next prime is 12000122100073.

12000122100021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12000122100021 - 223 = 12000113711413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000122110021) 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, 49980741 + ... + 50220261.

It is an arithmetic number, because the mean of its divisors is an integer number (548788974048).

Almost surely, 212000122100021 is an apocalyptic number.

12000122100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000122100021 is a deficient number, since it is larger than the sum of its proper divisors (5561125069515).

12000122100021 is a wasteful number, since it uses less digits than its factorization.

12000122100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248793.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1200012 and 2100021, that added together give a palindrome (3300033).

The spelling of 12000122100021 in words is "twelve trillion, one hundred twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 3 11 33 167 501 1837 5511 9091 27273 100001 239521 300003 718563 1518197 2634731 4554591 7904193 16700167 40000007 50100501 120000021 440000077 1320000231 2177485411 6532456233 23952339521 71857018563 363640063637 1090920190911 4000040700007 12000122100021