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122443130040 = 233571113251421
BaseRepresentation
bin111001000001000101…
…1011110010010111000
3102201001021100110212020
41302002023132102320
54001230420130130
6132125525114440
711563153301340
oct1620213362270
9381037313766
10122443130040
1147a22a55960
121b891b58a20
13b7143c444a
145cd79d1d20
1532b96eae10
hex1c822de4b8

122443130040 has 128 divisors (see below), whose sum is σ = 457969144320. Its totient is φ = 25442726400.

The previous prime is 122443130039. The next prime is 122443130041. The reversal of 122443130040 is 40031344221.

It is an interprime number because it is at equal distance from previous prime (122443130039) and next prime (122443130041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122443130041) 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 31 ways as a sum of consecutive naturals, for example, 6616471 + ... + 6634950.

It is an arithmetic number, because the mean of its divisors is an integer number (3577883940).

Almost surely, 2122443130040 is an apocalyptic number.

122443130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122443130040 is an abundant number, since it is smaller than the sum of its proper divisors (335526014280).

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

122443130040 is a wasteful number, since it uses less digits than its factorization.

122443130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251453 (or 13251449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122443130040 its reverse (40031344221), we get a palindrome (162474474261).

The spelling of 122443130040 in words is "one hundred twenty-two billion, four hundred forty-three million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 13251421 26502842 39754263 53005684 66257105 79508526 92759947 106011368 132514210 145765631 159017052 185519894 198771315 265028420 278279841 291531262 318034104 371039788 397542630 437296893 463799735 530056840 556559682 583062524 728828155 742079576 795085260 874593786 927599470 1020359417 1113119364 1166125048 1391399205 1457656310 1590170520 1749187572 1855198940 2040718834 2186484465 2226238728 2782798410 2915312620 3061078251 3498375144 3710397880 4081437668 4372968930 5101797085 5565596820 5830625240 6122156502 8162875336 8745937860 10203594170 11131193640 12244313004 15305391255 17491875720 20407188340 24488626008 30610782510 40814376680 61221565020 122443130040