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122202201011020 = 225132919267841189
BaseRepresentation
bin11011110010010001101010…
…110010000011001101001100
3121000200102020111111111220121
4123302101222302003031030
5112004130101424323040
61111522525515154324
734511550314006044
oct3362215262031514
9530612214444817
10122202201011020
1135a34731736369
1211857731a459a4
135325805ca6aa0
142226892062724
15e1db5de23c4a
hex6f246ac8334c

122202201011020 has 96 divisors (see below), whose sum is σ = 285909982948800. Its totient is φ = 43562609685504.

The previous prime is 122202201010999. The next prime is 122202201011113. The reversal of 122202201011020 is 20110102202221.

It is a happy number.

It is a super-2 number, since 2×1222022010110202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122202201010985 and 122202201011003.

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, 144852586 + ... + 145693774.

It is an arithmetic number, because the mean of its divisors is an integer number (2978228989050).

Almost surely, 2122202201011020 is an apocalyptic number.

122202201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202201011020 is an abundant number, since it is smaller than the sum of its proper divisors (163707781937780).

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

122202201011020 is a wasteful number, since it uses less digits than its factorization.

122202201011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860507 (or 860505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122202201011020 its reverse (20110102202221), we get a palindrome (142312303213241).

The spelling of 122202201011020 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 19267 38534 77068 96335 192670 250471 385340 500942 558743 841189 1001884 1117486 1252355 1682378 2234972 2504710 2793715 3364756 4205945 5009420 5587430 7263659 8411890 10935457 11174860 14527318 16823780 21870914 24394481 29054636 36318295 43741828 48788962 54677285 72636590 97577924 109354570 121972405 145273180 218709140 243944810 317128253 487889620 634256506 1268513012 1585641265 3171282530 6342565060 16207188463 32414376926 64828753852 81035942315 162071884630 210693450019 324143769260 421386900038 470008465427 842773800076 940016930854 1053467250095 1880033861708 2106934500190 2350042327135 4213869000380 4700084654270 6110110050551 9400169308540 12220220101102 24440440202204 30550550252755 61101100505510 122202201011020