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122230132122000 = 2435372910241241
BaseRepresentation
bin11011110010101011101011…
…100110110010000110010000
3121000210002100001210222002110
4123302223223212302012100
5112010104302310401000
61111543425243545320
734513556422354350
oct3362535346620620
9530702301728073
10122230132122000
1135a45565060461
1211861027b2b240
1353283378548a6
142227d817dcb60
15e1e7460cd850
hex6f2aeb9b2190

122230132122000 has 160 divisors (see below), whose sum is σ = 450365652681984. Its totient is φ = 27938315904000.

The previous prime is 122230132121833. The next prime is 122230132122001. The reversal of 122230132122000 is 221231032221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122230132122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455078621 + ... + 1455162620.

Almost surely, 2122230132122000 is an apocalyptic number.

122230132122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122230132122000 is an abundant number, since it is smaller than the sum of its proper divisors (328135520559984).

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

122230132122000 is a wasteful number, since it uses less digits than its factorization.

122230132122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910241274 (or 2910241258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122230132122000 its reverse (221231032221), we get a palindrome (122451363154221).

The spelling of 122230132122000 in words is "one hundred twenty-two trillion, two hundred thirty billion, one hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 2910241241 5820482482 8730723723 11640964964 14551206205 17461447446 20371688687 23281929928 29102412410 34922894892 40743377374 43653618615 46563859856 58204824820 61115066061 69845789784 72756031025 81486754748 87307237230 101858443435 116409649640 122230132122 139691579568 145512062050 162973509496 174614474460 203716886870 218268093075 232819299280 244460264244 291024124100 305575330305 325947018992 349228948920 363780155125 407433773740 436536186150 488920528488 509292217175 582048248200 611150660610 698457897840 727560310250 814867547480 873072372300 977841056976 1018584434350 1091340465375 1164096496400 1222301321220 1455120620500 1527876651525 1629735094960 1746144744600 2037168868700 2182680930750 2444602642440 2546461085875 2910241241000 3055753303050 3492289489200 4074337737400 4365361861500 4889205284880 5092922171750 5820482482000 6111506606100 7639383257625 8148675474800 8730723723000 10185844343500 12223013212200 15278766515250 17461447446000 20371688687000 24446026424400 30557533030500 40743377374000 61115066061000 122230132122000