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20011200120 = 2333548738047
BaseRepresentation
bin10010101000110000…
…101010111001111000
31220122121121021221000
4102220300222321320
5311440331400440
613105405245000
71305616252212
oct225060527170
956577537830
1020011200120
11853988991a
123a65863760
131b6bac9822
14d7b99d5b2
157c1c2e730
hex4a8c2ae78

20011200120 has 128 divisors (see below), whose sum is σ = 66842726400. Its totient is φ = 5325222528.

The previous prime is 20011200113. The next prime is 20011200127. The reversal of 20011200120 is 2100211002.

It is an interprime number because it is at equal distance from previous prime (20011200113) and next prime (20011200127).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011200127) 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, 506937 + ... + 544983.

It is an arithmetic number, because the mean of its divisors is an integer number (522208800).

Almost surely, 220011200120 is an apocalyptic number.

20011200120 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 20011200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33421363200).

20011200120 is an abundant number, since it is smaller than the sum of its proper divisors (46831526280).

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

20011200120 is a wasteful number, since it uses less digits than its factorization.

20011200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38554 (or 38544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20011200120 its reverse (2100211002), we get a palindrome (22111411122).

The spelling of 20011200120 in words is "twenty billion, eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 487 540 974 1080 1461 1948 2435 2922 3896 4383 4870 5844 7305 8766 9740 11688 13149 14610 17532 19480 21915 26298 29220 35064 38047 43830 52596 58440 65745 76094 87660 105192 114141 131490 152188 175320 190235 228282 262980 304376 342423 380470 456564 525960 570705 684846 760940 913128 1027269 1141410 1369692 1521880 1712115 2054538 2282820 2739384 3424230 4109076 4565640 5136345 6848460 8218152 10272690 13696920 18528889 20545380 37057778 41090760 55586667 74115556 92644445 111173334 148231112 166760001 185288890 222346668 277933335 333520002 370577780 444693336 500280003 555866670 667040004 741155560 833800005 1000560006 1111733340 1334080008 1667600010 2001120012 2223466680 2501400015 3335200020 4002240024 5002800030 6670400040 10005600060 20011200120