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122210020400 = 24521347500041
BaseRepresentation
bin111000111010001001…
…0001110110000110000
3102200110000201021112212
41301310102032300300
54000241231123100
6132050440511252
711554323014366
oct1616422166060
9380400637485
10122210020400
1147913409166
121b827a7b528
13b6a8016950
145cb4a71636
1532a4001635
hex1c7448ec30

122210020400 has 120 divisors (see below), whose sum is σ = 322923123264. Its totient is φ = 44163532800.

The previous prime is 122210020399. The next prime is 122210020411. The reversal of 122210020400 is 4020012221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5621 + ... + 494420.

Almost surely, 2122210020400 is an apocalyptic number.

122210020400 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 122210020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161461561632).

122210020400 is an abundant number, since it is smaller than the sum of its proper divisors (200713102864).

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

122210020400 is a wasteful number, since it uses less digits than its factorization.

122210020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500119 (or 500108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122210020400 its reverse (4020012221), we get a palindrome (126230032621).

The spelling of 122210020400 in words is "one hundred twenty-two billion, two hundred ten million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 47 50 52 65 80 94 100 104 130 188 200 208 235 260 325 376 400 470 520 611 650 752 940 1040 1175 1222 1300 1880 2350 2444 2600 3055 3760 4700 4888 5200 6110 9400 9776 12220 15275 18800 24440 30550 48880 61100 122200 244400 500041 1000082 2000164 2500205 4000328 5000410 6500533 8000656 10000820 12501025 13001066 20001640 23501927 25002050 26002132 32502665 40003280 47003854 50004100 52004264 65005330 94007708 100008200 104008528 117509635 130010660 162513325 188015416 200016400 235019270 260021320 305525051 325026650 376030832 470038540 520042640 587548175 611050102 650053300 940077080 1175096350 1222100204 1300106600 1527625255 1880154160 2350192700 2444200408 2600213200 3055250510 4700385400 4888400816 6110501020 7638126275 9400770800 12221002040 15276252550 24442004080 30552505100 61105010200 122210020400