Search a number
-
+
122011250502320 = 245192913720204017
BaseRepresentation
bin11011101111011111110101…
…001111101010101010110000
3121000000011100211102121201122
4123233133311033222222300
5111443013020112033240
61111255110015121412
734462010346321434
oct3357376517525260
9530004324377648
10122011250502320
11359707540999a3
1211826720b13268
1353107c47758ba
14221b539b9a9c4
15e18bd51a54b5
hex6ef7f53eaab0

122011250502320 has 160 divisors (see below), whose sum is σ = 311158040414400. Its totient is φ = 44315650326528.

The previous prime is 122011250502287. The next prime is 122011250502391. The reversal of 122011250502320 is 23205052110221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122011250502320.

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, 4063049 + ... + 16140968.

It is an arithmetic number, because the mean of its divisors is an integer number (1944737752590).

Almost surely, 2122011250502320 is an apocalyptic number.

122011250502320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011250502320 is an abundant number, since it is smaller than the sum of its proper divisors (189146789912080).

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

122011250502320 is a wasteful number, since it uses less digits than its factorization.

122011250502320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20204215 (or 20204209 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 122011250502320 in words is "one hundred twenty-two trillion, eleven billion, two hundred fifty million, five hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 137 145 152 190 232 274 290 304 380 464 548 551 580 685 760 1096 1102 1160 1370 1520 2192 2204 2320 2603 2740 2755 3973 4408 5206 5480 5510 7946 8816 10412 10960 11020 13015 15892 19865 20824 22040 26030 31784 39730 41648 44080 52060 63568 75487 79460 104120 150974 158920 208240 301948 317840 377435 603896 754870 1207792 1509740 3019480 6038960 20204017 40408034 80816068 101020085 161632136 202040170 323264272 383876323 404080340 585916493 767752646 808160680 1171832986 1535505292 1616321360 1919381615 2343665972 2767950329 2929582465 3071010584 3838763230 4687331944 5535900658 5859164930 6142021168 7677526460 9374663888 11071801316 11132413367 11718329860 13839751645 15355052920 22143602632 22264826734 23436659720 27679503290 30710105840 44287205264 44529653468 46873319440 52591056251 55359006580 55662066835 80270559541 89059306936 105182112502 110718013160 111324133670 160541119082 178118613872 210364225004 221436026320 222648267340 262955281255 321082238164 401352797705 420728450008 445296534680 525910562510 642164476328 802705595410 841456900016 890593069360 1051821125020 1284328952656 1525140631279 1605411190820 2103642250040 3050281262558 3210822381640 4207284500080 6100562525116 6421644763280 7625703156395 12201125050232 15251406312790 24402250100464 30502812625580 61005625251160 122011250502320