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122401268 = 221119314723
BaseRepresentation
bin1110100101110…
…11000111110100
322112022121222022
413102323013310
5222313320033
620051252312
73014252003
oct722730764
9275277868
10122401268
1163101980
1234baa098
131c487bb2
1412382c3a
15ab2c098
hex74bb1f4

122401268 has 48 divisors (see below), whose sum is σ = 253962240. Its totient is φ = 50997600.

The previous prime is 122401243. The next prime is 122401271. The reversal of 122401268 is 862104221.

It is a happy number.

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, 23555 + ... + 28277.

It is an arithmetic number, because the mean of its divisors is an integer number (5290880).

Almost surely, 2122401268 is an apocalyptic number.

It is an amenable number.

122401268 is an abundant number, since it is smaller than the sum of its proper divisors (131560972).

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

122401268 is a wasteful number, since it uses less digits than its factorization.

122401268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 122401268 is about 11063.5106543990. The cubic root of 122401268 is about 496.5107306412.

Adding to 122401268 its reverse (862104221), we get a palindrome (984505489).

The spelling of 122401268 in words is "one hundred twenty-two million, four hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 1178 1364 2356 4723 6479 9446 12958 18892 25916 51953 89737 103906 146413 179474 207812 292826 358948 585652 987107 1610543 1974214 2781847 3221086 3948428 5563694 6442172 11127388 30600317 61200634 122401268