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122023001232 = 24331125678241
BaseRepresentation
bin111000110100100100…
…0110011110010010000
3102122221222210201111000
41301221020303302100
53444400342014412
6132020120222000
711546562253116
oct1615110636220
9378858721430
10122023001232
1147827891970
121b79530a900
13b678355c12
145c97cabab6
1532928ad4dc
hex1c69233c90

122023001232 has 80 divisors (see below), whose sum is σ = 382092240960. Its totient is φ = 36976665600.

The previous prime is 122023001231. The next prime is 122023001239. The reversal of 122023001232 is 232100320221.

It is a super-2 number, since 2×1220230012322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122023001231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12834369 + ... + 12843872.

It is an arithmetic number, because the mean of its divisors is an integer number (4776153012).

Almost surely, 2122023001232 is an apocalyptic number.

122023001232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122023001232 is an abundant number, since it is smaller than the sum of its proper divisors (260069239728).

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

122023001232 is a wasteful number, since it uses less digits than its factorization.

122023001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25678269 (or 25678257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122023001232 its reverse (232100320221), we get a palindrome (354123321453).

The spelling of 122023001232 in words is "one hundred twenty-two billion, twenty-three million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 25678241 51356482 77034723 102712964 154069446 205425928 231104169 282460651 308138892 410851856 462208338 564921302 616277784 693312507 847381953 924416676 1129842604 1232555568 1386625014 1694763906 1848833352 2259685208 2542145859 2773250028 3389527812 3697666704 4519370416 5084291718 5546500056 6779055624 7626437577 10168583436 11093000112 13558111248 15252875154 20337166872 30505750308 40674333744 61011500616 122023001232