Search a number
-
+
1200001012020 = 223257333909133
BaseRepresentation
bin10001011101100101101…
…000100101000100110100
311020201102010121112012200
4101131211220211010310
5124130100224341040
62315134534144500
7152461100206356
oct21354550450464
94221363545180
101200001012020
11422a10318478
12174699ab2130
138920c880535
144211a70d0d6
1521334d3a630
hex11765a25134

1200001012020 has 72 divisors (see below), whose sum is σ = 3640503460776. Its totient is φ = 319956279552.

The previous prime is 1200001012013. The next prime is 1200001012099. The reversal of 1200001012020 is 202101000021.

It can be written as a sum of positive squares in 4 ways, for example, as 13269657636 + 1186731354384 = 115194^2 + 1089372^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1200001011993 and 1200001012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865374 + ... + 1774506.

Almost surely, 21200001012020 is an apocalyptic number.

1200001012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200001012020 is an abundant number, since it is smaller than the sum of its proper divisors (2440502448756).

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

1200001012020 is a wasteful number, since it uses less digits than its factorization.

1200001012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916481 (or 916476 counting only the distinct ones).

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

Adding to 1200001012020 its reverse (202101000021), we get a palindrome (1402102012041).

The spelling of 1200001012020 in words is "one trillion, two hundred billion, one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7333 14666 21999 29332 36665 43998 65997 73330 87996 109995 131994 146660 219990 263988 329985 439980 659970 909133 1319940 1818266 2727399 3636532 4545665 5454798 8182197 9091330 10909596 13636995 16364394 18182660 27273990 32728788 40910985 54547980 81821970 163643940 6666672289 13333344578 20000016867 26666689156 33333361445 40000033734 60000050601 66666722890 80000067468 100000084335 120000101202 133333445780 200000168670 240000202404 300000253005 400000337340 600000506010 1200001012020