Search a number
-
+
1121200120000 = 2654244111483
BaseRepresentation
bin10000010100001100101…
…111000010000011000000
310222012000100211110010101
4100110030233002003000
5121332204212320000
62215023333412144
7144001245526402
oct20241457020300
93865010743111
101121200120000
113a2553268a24
1216136779a054
1381961cb9b8c
143c3a2d10b72
151e271c7ce6a
hex1050cbc20c0

1121200120000 has 140 divisors (see below), whose sum is σ = 2781593086536. Its totient is φ = 448257280000.

The previous prime is 1121200119967. The next prime is 1121200120003. The reversal of 1121200120000 is 210021211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1121200120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97634259 + ... + 97645741.

Almost surely, 21121200120000 is an apocalyptic number.

1121200120000 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 1121200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390796543268).

1121200120000 is an abundant number, since it is smaller than the sum of its proper divisors (1660392966536).

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

1121200120000 is an equidigital number, since it uses as much as digits as its factorization.

1121200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1121200120000 its reverse (210021211), we get a palindrome (1121410141211).

The spelling of 1121200120000 in words is "one trillion, one hundred twenty-one billion, two hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2441 2500 4000 4882 5000 8000 9764 10000 11483 12205 19528 20000 22966 24410 39056 40000 45932 48820 57415 61025 78112 91864 97640 114830 122050 156224 183728 195280 229660 244100 287075 305125 367456 390560 459320 488200 574150 610250 734912 781120 918640 976400 1148300 1220500 1435375 1525625 1837280 1952800 2296600 2441000 2870750 3051250 3674560 3905600 4593200 4882000 5741500 6102500 7176875 9186400 9764000 11483000 12205000 14353750 18372800 19528000 22966000 24410000 28030003 28707500 45932000 48820000 56060006 57415000 91864000 97640000 112120012 114830000 140150015 224240024 229660000 280300030 448480048 459320000 560600060 700750075 896960096 1121200120 1401500150 1793920192 2242400240 2803000300 3503750375 4484800480 5606000600 7007500750 8969600960 11212001200 14015001500 17518751875 22424002400 28030003000 35037503750 44848004800 56060006000 70075007500 112120012000 140150015000 224240024000 280300030000 560600060000 1121200120000