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20120222000 = 245310919221
BaseRepresentation
bin10010101111010000…
…100011100100110000
31220221012202011211102
4102233100203210300
5312201234101000
613124302103532
71311412031234
oct225720434460
956835664742
1020120222000
11859538264a
123a9627aba8
131b8857b908
14d8c25c5c4
157cb5b73d5
hex4af423930

20120222000 has 80 divisors (see below), whose sum is σ = 48700570464. Its totient is φ = 8039840000.

The previous prime is 20120221999. The next prime is 20120222009. The reversal of 20120222000 is 22202102.

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

It is not an unprimeable number, because it can be changed into a prime (20120222009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177390 + ... + 2186610.

Almost surely, 220120222000 is an apocalyptic number.

20120222000 is a gapful number since it is divisible by the number (20) 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 20120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24350285232).

20120222000 is an abundant number, since it is smaller than the sum of its proper divisors (28580348464).

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

20120222000 is a wasteful number, since it uses less digits than its factorization.

20120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20120222000 its reverse (22202102), we get a palindrome (20142424102).

The spelling of 20120222000 in words is "twenty billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1091 2000 2182 4364 5455 8728 9221 10910 17456 18442 21820 27275 36884 43640 46105 54550 73768 87280 92210 109100 136375 147536 184420 218200 230525 272750 368840 436400 461050 545500 737680 922100 1091000 1152625 1844200 2182000 2305250 3688400 4610500 9221000 10060111 18442000 20120222 40240444 50300555 80480888 100601110 160961776 201202220 251502775 402404440 503005550 804808880 1006011100 1257513875 2012022200 2515027750 4024044400 5030055500 10060111000 20120222000