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122540022 = 232112921341
BaseRepresentation
bin1110100110111…
…00111111110110
322112120200022100
413103130333312
5222332240042
620054242530
73015400353
oct723347766
9275520270
10122540022
1163197150
1235056446
131c5060b7
14123bb62a
15ab5824c
hex74dcff6

122540022 has 48 divisors (see below), whose sum is σ = 299641680. Its totient is φ = 35851200.

The previous prime is 122540017. The next prime is 122540053. The reversal of 122540022 is 220045221.

122540022 is a `hidden beast` number, since 122 + 540 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122539977 and 122540004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4929 + ... + 16412.

It is an arithmetic number, because the mean of its divisors is an integer number (6242535).

Almost surely, 2122540022 is an apocalyptic number.

122540022 is an abundant number, since it is smaller than the sum of its proper divisors (177101658).

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

122540022 is a wasteful number, since it uses less digits than its factorization.

122540022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21389 (or 21386 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122540022 is about 11069.7796726041. The cubic root of 122540022 is about 496.6982745425.

Adding to 122540022 its reverse (220045221), we get a palindrome (342585243).

The spelling of 122540022 in words is "one hundred twenty-two million, five hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 21341 42682 64023 128046 192069 234751 384138 469502 618889 704253 1237778 1408506 1856667 2112759 3713334 4225518 5570001 6807779 11140002 13615558 20423337 40846674 61270011 122540022