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122112030023032 = 23721033744180777
BaseRepresentation
bin11011110000111101101100…
…001011000001110101111000
3121000100210111022212201100211
4123300331230023001311320
5112001140414141214112
61111413254150040504
734502205640160200
oct3360755413016570
9530323438781324
10122112030023032
11359aa46a548495
1211842167949134
13531a1659178aa
14222237a575400
15e1b632a6e0a7
hex6f0f6c2c1d78

122112030023032 has 96 divisors (see below), whose sum is σ = 268937639773920. Its totient is φ = 51823606947840.

The previous prime is 122112030023029. The next prime is 122112030023041. The reversal of 122112030023032 is 230320030211221.

It is a super-2 number, since 2×1221120300230322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112030022994 and 122112030023012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1511677428 + ... + 1511758204.

It is an arithmetic number, because the mean of its divisors is an integer number (2801433747645).

Almost surely, 2122112030023032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112030023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134468819886960).

122112030023032 is an abundant number, since it is smaller than the sum of its proper divisors (146825609750888).

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

122112030023032 is a wasteful number, since it uses less digits than its factorization.

122112030023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118341 (or 118330 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122112030023032 its reverse (230320030211221), we get a palindrome (352432060234253).

The spelling of 122112030023032 in words is "one hundred twenty-two trillion, one hundred twelve billion, thirty million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 721 824 1442 2884 5047 5768 10094 20188 37441 40376 74882 80777 149764 161554 262087 299528 323108 524174 565439 646216 1048348 1130878 1834609 2096696 2261756 3669218 3856423 3958073 4523512 7338436 7712846 7916146 8320031 14676872 15425692 15832292 16640062 26994961 30851384 31664584 33280124 53989922 58240217 66560248 107979844 116480434 188964727 215959688 232960868 377929454 407681519 465921736 755858908 815363038 1511717816 1630726076 3024371657 3261452152 6048743314 12097486628 21170601599 24194973256 42341203198 84682406396 148194211193 169364812792 296388422386 311510280671 592776844772 623020561342 1185553689544 1246041122684 2180571964697 2492082245368 4361143929394 8722287858788 15264003752879 17444575717576 30528007505758 61056015011516 122112030023032