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20120120201000 = 235327772635813
BaseRepresentation
bin1001001001100100101001…
…00111100000111100101000
32122020110112202210221221002
410210302110213200330220
510114122001232413000
6110443020002534132
74144426222623341
oct444622447407450
978213482727832
1020120120201000
116457993360a26
12230b4b7667348
13b2c41c365651
144d7b675330c8
1524d5856818d5
hex124c949e0f28

20120120201000 has 64 divisors (see below), whose sum is σ = 47251049723280. Its totient is φ = 8018993644800.

The previous prime is 20120120200981. The next prime is 20120120201141. The reversal of 20120120201000 is 10202102102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1190294092036 + 18929826108964 = 1091006^2 + 4350842^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36040907 + ... + 36594906.

Almost surely, 220120120201000 is an apocalyptic number.

20120120201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120120201000 is an abundant number, since it is smaller than the sum of its proper divisors (27130929522280).

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

20120120201000 is a wasteful number, since it uses less digits than its factorization.

20120120201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72636111 (or 72636097 counting only the distinct ones).

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

Adding to 20120120201000 its reverse (10202102102), we get a palindrome (20130322303102).

The spelling of 20120120201000 in words is "twenty trillion, one hundred twenty billion, one hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 1000 1108 1385 2216 2770 5540 6925 11080 13850 27700 34625 55400 69250 138500 277000 72635813 145271626 290543252 363179065 581086504 726358130 1452716260 1815895325 2905432520 3631790650 7263581300 9079476625 14527162600 18158953250 20120120201 36317906500 40240240402 72635813000 80480480804 100600601005 160960961608 201201202010 402402404020 503003005025 804804808040 1006006010050 2012012020100 2515015025125 4024024040200 5030030050250 10060060100500 20120120201000