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122042135124 = 2232713231619713
BaseRepresentation
bin111000110101001000…
…1110011001001010100
3102200000022210211020200
41301222101303021110
53444420241310444
6132022042300500
711550214014060
oct1615221631124
9380008724220
10122042135124
11478376704a8
121b79b7b7730
13b67c2c5050
145c9a64caa0
1532943dc969
hex1c6a473254

122042135124 has 144 divisors (see below), whose sum is σ = 396195002112. Its totient is φ = 30787485696.

The previous prime is 122042135107. The next prime is 122042135129. The reversal of 122042135124 is 421531240221.

122042135124 is a `hidden beast` number, since 1 + 220 + 421 + 3 + 5 + 12 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122042135129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734509 + ... + 885204.

Almost surely, 2122042135124 is an apocalyptic number.

122042135124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122042135124 is an abundant number, since it is smaller than the sum of its proper divisors (274152866988).

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

122042135124 is a wasteful number, since it uses less digits than its factorization.

122042135124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619766 (or 1619761 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122042135124 its reverse (421531240221), we get a palindrome (543573375345).

The spelling of 122042135124 in words is "one hundred twenty-two billion, forty-two million, one hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 819 828 897 966 1092 1196 1449 1638 1794 1932 2093 2691 2898 3276 3588 4186 5382 5796 6279 8372 10764 12558 18837 25116 37674 75348 1619713 3239426 4859139 6478852 9718278 11337991 14577417 19436556 21056269 22675982 29154834 34013973 37253399 42112538 45351964 58309668 63168807 68027946 74506798 84225076 102041919 111760197 126337614 136055892 147393883 149013596 189506421 204083838 223520394 252675228 260773793 294787766 335280591 379012842 408167676 442181649 447040788 484294187 521547586 589575532 670561182 758025684 782321379 884363298 968588374 1043095172 1326544947 1341122364 1452882561 1564642758 1768726596 1937176748 2346964137 2653089894 2905765122 3129285516 3390059309 4358647683 4693928274 5306179788 5811530244 6780118618 8717295366 9387856548 10170177927 13560237236 17434590732 20340355854 30510533781 40680711708 61021067562 122042135124