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11122121000 = 235319158231
BaseRepresentation
bin10100101101110111…
…00001100100101000
31001201010020021202102
422112323201210220
5140234230333000
65035345352532
7542421316514
oct122673414450
931633207672
1011122121000
114798169141
1221a4938748
131083314ab3
147771bd144
154516633d5
hex296ee1928

11122121000 has 64 divisors (see below), whose sum is σ = 26162472960. Its totient is φ = 4425480000.

The previous prime is 11122120981. The next prime is 11122121047. The reversal of 11122121000 is 12122111.

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, 161885 + ... + 220115.

It is an arithmetic number, because the mean of its divisors is an integer number (408788640).

Almost surely, 211122121000 is an apocalyptic number.

11122121000 is a gapful number since it is divisible by the number (10) 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 11122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081236480).

11122121000 is an abundant number, since it is smaller than the sum of its proper divisors (15040351960).

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

11122121000 is a wasteful number, since it uses less digits than its factorization.

11122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58443 (or 58429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122121000 its reverse (12122111), we get a palindrome (11134243111).

The spelling of 11122121000 in words is "eleven billion, one hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 250 382 500 764 955 1000 1528 1910 3820 4775 7640 9550 19100 23875 38200 47750 58231 95500 116462 191000 232924 291155 465848 582310 1164620 1455775 2329240 2911550 5823100 7278875 11122121 11646200 14557750 22244242 29115500 44488484 55610605 58231000 88976968 111221210 222442420 278053025 444884840 556106050 1112212100 1390265125 2224424200 2780530250 5561060500 11122121000