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2000121100000 = 2555131152681
BaseRepresentation
bin11101000110110000100…
…000011111011011100000
321002012122212201100221021
4131012300200133123200
5230232222000200000
64130502024335224
7264334602560212
oct35066040373340
97065585640837
102000121100000
11701279244031
12283778614514
131167c2684b8a
146cb409b45b2
153706394e11a
hex1d1b081f6e0

2000121100000 has 144 divisors (see below), whose sum is σ = 4959461917872. Its totient is φ = 793936000000.

The previous prime is 2000121099959. The next prime is 2000121100007. The reversal of 2000121100000 is 11210002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000121100007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13023660 + ... + 13176340.

It is an arithmetic number, because the mean of its divisors is an integer number (34440707763).

Almost surely, 22000121100000 is an apocalyptic number.

2000121100000 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 2000121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479730958936).

2000121100000 is an abundant number, since it is smaller than the sum of its proper divisors (2959340817872).

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

2000121100000 is an equidigital number, since it uses as much as digits as its factorization.

2000121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152847 (or 152819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2000121100000 its reverse (11210002), we get a palindrome (2000132310002).

The spelling of 2000121100000 in words is "two trillion, one hundred twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 131 160 200 250 262 400 500 524 625 655 800 1000 1048 1250 1310 2000 2096 2500 2620 3125 3275 4000 4192 5000 5240 6250 6550 10000 10480 12500 13100 16375 20000 20960 25000 26200 32750 50000 52400 65500 81875 100000 104800 131000 152681 163750 262000 305362 327500 409375 524000 610724 655000 763405 818750 1221448 1310000 1526810 1637500 2442896 2620000 3053620 3275000 3817025 4885792 6107240 6550000 7634050 12214480 13100000 15268100 19085125 20001211 24428960 30536200 38170250 40002422 61072400 76340500 80004844 95425625 100006055 122144800 152681000 160009688 190851250 200012110 305362000 320019376 381702500 400024220 477128125 500030275 610724000 640038752 763405000 800048440 954256250 1000060550 1526810000 1600096880 1908512500 2000121100 2500151375 3053620000 3200193760 3817025000 4000242200 5000302750 7634050000 8000484400 10000605500 12500756875 15268100000 16000968800 20001211000 25001513750 40002422000 50003027500 62503784375 80004844000 100006055000 125007568750 200012110000 250015137500 400024220000 500030275000 1000060550000 2000121100000