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122123011312 = 24234110378583
BaseRepresentation
bin111000110111100011…
…0010100010011110000
3102200012221222202112001
41301233012110103300
54000101442330222
6132034051543344
711552215316521
oct1615706242360
9380187882461
10122123011312
114787928aa25
121b8028bab54
13b692ca1193
145ca72a2848
15329b565e27
hex1c6f1944f0

122123011312 has 80 divisors (see below), whose sum is σ = 255381654528. Its totient is φ = 56428162560.

The previous prime is 122123011277. The next prime is 122123011327. The reversal of 122123011312 is 213110321221.

It is a super-2 number, since 2×1221230113122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122123011312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1514773 + ... + 1593355.

Almost surely, 2122123011312 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 122123011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127690827264).

122123011312 is an abundant number, since it is smaller than the sum of its proper divisors (133258643216).

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

122123011312 is a wasteful number, since it uses less digits than its factorization.

122123011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78758 (or 78752 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122123011312 its reverse (213110321221), we get a palindrome (335233332533).

The spelling of 122123011312 in words is "one hundred twenty-two billion, one hundred twenty-three million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 41 46 82 92 103 164 184 206 328 368 412 656 824 943 1648 1886 2369 3772 4223 4738 7544 8446 9476 15088 16892 18952 33784 37904 67568 78583 97129 157166 194258 314332 388516 628664 777032 1257328 1554064 1807409 3221903 3614818 6443806 7229636 8094049 12887612 14459272 16188098 25775224 28918544 32376196 51550448 64752392 74103769 129504784 148207538 186163127 296415076 331856009 372326254 592830152 663712018 744652508 1185660304 1327424036 1489305016 2654848072 2978610032 5309696144 7632688207 15265376414 30530752828 61061505656 122123011312