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122012122112023 = 11132960148954709
BaseRepresentation
bin11011101111100000101001…
…001100100110000000010111
3121000000020121120111222110111
4123233200221030212000113
5111443021311230041043
61111255332312503451
734462041062014543
oct3357405114460027
9530006546458414
10122012122112023
11359710610a01a0
12118269249aab87
13531090320bba0
14221b5bd846a23
15e18c3697509d
hex6ef829326017

122012122112023 has 32 divisors (see below), whose sum is σ = 148532506516800. Its totient is φ = 98692691328000.

The previous prime is 122012122111963. The next prime is 122012122112059. The reversal of 122012122112023 is 320211221210221.

It is not a de Polignac number, because 122012122112023 - 233 = 122003532177431 is a prime.

It is a super-2 number, since 2×1220121221120232 (a number of 29 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 = 122012122111985 and 122012122112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012122112093) 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, 21985008 + ... + 26969701.

It is an arithmetic number, because the mean of its divisors is an integer number (4641640828650).

Almost surely, 2122012122112023 is an apocalyptic number.

122012122112023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122012122112023 is a deficient number, since it is larger than the sum of its proper divisors (26520384404777).

122012122112023 is a wasteful number, since it uses less digits than its factorization.

122012122112023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48955363.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122012122112023 its reverse (320211221210221), we get a palindrome (442223343322244).

The spelling of 122012122112023 in words is "one hundred twenty-two trillion, twelve billion, one hundred twenty-two million, one hundred twelve thousand, twenty-three".

Divisors: 1 11 13 29 143 319 377 601 4147 6611 7813 17429 85943 191719 226577 2492347 48954709 538501799 636411217 1419686561 7000523387 15616552171 18455925293 29421780109 203015178223 323639581199 382483141417 853231623161 4207314555587 9385547854771 11092011101093 122012122112023