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122401244240 = 24511295981293
BaseRepresentation
bin111000111111110101…
…1101100010001010000
3102200221100112110100022
41301333223230101100
54001134204303430
6132121431243012
711562134260322
oct1617753542120
9380840473308
10122401244240
1147a013474a0
121b87bb19468
13b70881a452
145cd220b612
1532b5bc54e5
hex1c7faec450

122401244240 has 160 divisors (see below), whose sum is σ = 326606774400. Its totient is φ = 42245826560.

The previous prime is 122401244227. The next prime is 122401244263. The reversal of 122401244240 is 42442104221.

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 31 ways as a sum of consecutive naturals, for example, 1465034 + ... + 1546326.

It is an arithmetic number, because the mean of its divisors is an integer number (2041292340).

Almost surely, 2122401244240 is an apocalyptic number.

122401244240 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 122401244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163303387200).

122401244240 is an abundant number, since it is smaller than the sum of its proper divisors (204205530160).

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

122401244240 is a wasteful number, since it uses less digits than its factorization.

122401244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81405 (or 81399 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 122401244240 its reverse (42442104221), we get a palindrome (164843348461).

The spelling of 122401244240 in words is "one hundred twenty-two billion, four hundred one million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 59 80 88 110 116 118 145 176 220 232 236 290 295 319 440 464 472 580 590 638 649 880 944 1160 1180 1276 1298 1595 1711 2320 2360 2552 2596 3190 3245 3422 4720 5104 5192 6380 6490 6844 8555 10384 12760 12980 13688 17110 18821 25520 25960 27376 34220 37642 51920 68440 75284 81293 94105 136880 150568 162586 188210 301136 325172 376420 406465 650344 752840 812930 894223 1300688 1505680 1625860 1788446 2357497 3251720 3576892 4471115 4714994 4796287 6503440 7153784 8942230 9429988 9592574 11787485 14307568 17884460 18859976 19185148 23574970 23981435 25932467 35768920 37719952 38370296 47149940 47962870 51864934 52759157 71537840 76740592 94299880 95925740 103729868 105518314 129662335 139092323 188599760 191851480 207459736 211036628 259324670 263795785 278184646 383702960 414919472 422073256 518649340 527591570 556369292 695461615 844146512 1037298680 1055183140 1112738584 1390923230 1530015553 2074597360 2110366280 2225477168 2781846460 3060031106 4220732560 5563692920 6120062212 7650077765 11127385840 12240124424 15300155530 24480248848 30600311060 61200622120 122401244240