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20121122000 = 245371437223
BaseRepresentation
bin10010101111010011…
…111111010011010000
31220221021102220101202
4102233103333103100
5312202001401000
613124333250332
71311422500160
oct225723772320
956837386352
1020121122000
118595937851
123a966339a8
131b88805465
14d8c4145a0
157cb6e3dd5
hex4af4ff4d0

20121122000 has 80 divisors (see below), whose sum is σ = 55603322112. Its totient is φ = 6898665600.

The previous prime is 20121121991. The next prime is 20121122011. The reversal of 20121122000 is 22112102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704612 + ... + 732611.

Almost surely, 220121122000 is an apocalyptic number.

20121122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121122000 is an abundant number, since it is smaller than the sum of its proper divisors (35482200112).

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

20121122000 is a wasteful number, since it uses less digits than its factorization.

20121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437253 (or 1437237 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121122000 its reverse (22112102), we get a palindrome (20143234102).

The spelling of 20121122000 in words is "twenty billion, one hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 1437223 2874446 5748892 7186115 10060561 11497784 14372230 20121122 22995568 28744460 35930575 40242244 50302805 57488920 71861150 80484488 100605610 114977840 143722300 160968976 179652875 201211220 251514025 287444600 359305750 402422440 503028050 574889200 718611500 804844880 1006056100 1257570125 1437223000 2012112200 2515140250 2874446000 4024224400 5030280500 10060561000 20121122000