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122230242144 = 25322914634847
BaseRepresentation
bin111000111010101111…
…1010111101101100000
3102200111102202122120100
41301311133113231200
54000311420222034
6132052442142400
711554656626043
oct1616537275540
9380442678510
10122230242144
114792387004a
121b8327b1a00
13b6ac276c8a
145cb7616c5a
1532a5b98099
hex1c757d7b60

122230242144 has 72 divisors (see below), whose sum is σ = 359578215360. Its totient is φ = 39338466048.

The previous prime is 122230242143. The next prime is 122230242151. The reversal of 122230242144 is 441242032221.

It is a happy number.

122230242144 is a `hidden beast` number, since 1 + 2 + 2 + 230 + 2 + 421 + 4 + 4 = 666.

122230242144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122230242143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7309072 + ... + 7325775.

It is an arithmetic number, because the mean of its divisors is an integer number (4994141880).

Almost surely, 2122230242144 is an apocalyptic number.

It is an amenable number.

122230242144 is an abundant number, since it is smaller than the sum of its proper divisors (237347973216).

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

122230242144 is a wasteful number, since it uses less digits than its factorization.

122230242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14634892 (or 14634881 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122230242144 its reverse (441242032221), we get a palindrome (563472274365).

The spelling of 122230242144 in words is "one hundred twenty-two billion, two hundred thirty million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 14634847 29269694 43904541 58539388 87809082 117078776 131713623 175618164 234157552 263427246 351236328 424410563 468315104 526854492 702472656 848821126 1053708984 1273231689 1404945312 1697642252 2107417968 2546463378 3395284504 3819695067 4214835936 5092926756 6790569008 7639390134 10185853512 13581138016 15278780268 20371707024 30557560536 40743414048 61115121072 122230242144