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122154224140 = 225132167379571
BaseRepresentation
bin111000111000011110…
…1011000101000001100
3102200022010201112110201
41301300331120220030
54000132440133030
6132041124543244
711553044526154
oct1616075305014
9380263645421
10122154224140
1147894969653
121b811251b24
13b6995ac200
145cab4a9764
15329e17e2ca
hex1c70f58a0c

122154224140 has 144 divisors (see below), whose sum is σ = 280665665280. Its totient is φ = 44636417280.

The previous prime is 122154224089. The next prime is 122154224147. The reversal of 122154224140 is 41422451221.

It is a junction number, because it is equal to n+sod(n) for n = 122154224099 and 122154224108.

It is not an unprimeable number, because it can be changed into a prime (122154224147) 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, 213930055 + ... + 213930625.

It is an arithmetic number, because the mean of its divisors is an integer number (1949067120).

Almost surely, 2122154224140 is an apocalyptic number.

122154224140 is a gapful number since it is divisible by the number (10) 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 122154224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140332832640).

122154224140 is an abundant number, since it is smaller than the sum of its proper divisors (158511441140).

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

122154224140 is a wasteful number, since it uses less digits than its factorization.

122154224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 122154224140 its reverse (41422451221), we get a palindrome (163576675361).

The spelling of 122154224140 in words is "one hundred twenty-two billion, one hundred fifty-four million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 169 260 334 338 379 571 668 676 758 835 845 1142 1516 1670 1690 1895 2171 2284 2855 3340 3380 3790 4342 4927 5710 7423 7580 8684 9854 10855 11420 14846 19708 21710 24635 28223 29692 37115 43420 49270 56446 63293 64051 74230 95357 96499 98540 112892 126586 128102 141115 148460 190714 192998 216409 253172 256204 282230 316465 320255 381428 385996 432818 476785 482495 564460 632930 640510 822809 865636 953570 964990 1082045 1239641 1265860 1281020 1645618 1907140 1929980 2164090 2479282 2813317 3291236 4114045 4328180 4958564 5626634 6198205 8228090 10696517 11253268 12396410 14066585 16115333 16456180 21393034 24792820 28133170 32230666 36140303 36573121 42786068 53482585 56266340 64461332 72280606 73146242 80576665 106965170 144561212 146292484 161153330 180701515 182865605 213930340 322306660 361403030 365731210 469823939 722806060 731462420 939647878 1879295756 2349119695 4698239390 6107711207 9396478780 12215422414 24430844828 30538556035 61077112070 122154224140