Base | Representation |
---|---|
bin | 111001010001100110… |
… | …1111100011110000000 |
3 | 102202110220100122001000 |
4 | 1302203031330132000 |
5 | 4003344320113143 |
6 | 132300525412000 |
7 | 11612663604600 |
oct | 1624315743600 |
9 | 382426318030 |
10 | 122997426048 |
11 | 48187927732 |
12 | 1ba0770a000 |
13 | b7a21aa153 |
14 | 5d4b47cc00 |
15 | 32ed1dbbd3 |
hex | 1ca337c780 |
122997426048 has 576 divisors, whose sum is σ = 441760510800. Its totient is φ = 33589721088.
The previous prime is 122997426029. The next prime is 122997426107. The reversal of 122997426048 is 840624799221.
It is a happy number.
122997426048 is a `hidden beast` number, since 1 + 2 + 29 + 9 + 7 + 4 + 2 + 604 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 122997425985 and 122997426003.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89582290 + ... + 89583662.
Almost surely, 2122997426048 is an apocalyptic number.
122997426048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122997426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220880255400).
122997426048 is an abundant number, since it is smaller than the sum of its proper divisors (318763084752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122997426048 is a wasteful number, since it uses less digits than its factorization.
122997426048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1456 (or 1408 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
It can be divided in two parts, 12299 and 7426048, that added together give a palindrome (7438347).
The spelling of 122997426048 in words is "one hundred twenty-two billion, nine hundred ninety-seven million, four hundred twenty-six thousand, forty-eight".
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