Search a number
-
+
1221212022000 = 243531391464283
BaseRepresentation
bin10001110001010101111…
…010001010010011110000
311022202011100212110211220
4101301111322022103300
5130002020234201000
62333003403505040
7154141525625535
oct21612572122360
94282140773756
101221212022000
11430a05393193
12178819528180
138b210105b09
144316d78cd8c
1521b770691a0
hex11c55e8a4f0

1221212022000 has 160 divisors (see below), whose sum is σ = 3965515357440. Its totient is φ = 323313465600.

The previous prime is 1221212021957. The next prime is 1221212022013. The reversal of 1221212022000 is 2202121221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 101859 + ... + 1566141.

It is an arithmetic number, because the mean of its divisors is an integer number (24784470984).

Almost surely, 21221212022000 is an apocalyptic number.

1221212022000 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 1221212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982757678720).

1221212022000 is an abundant number, since it is smaller than the sum of its proper divisors (2744303335440).

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

1221212022000 is a wasteful number, since it uses less digits than its factorization.

1221212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464448 (or 1464432 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1221212022000 its reverse (2202121221), we get a palindrome (1223414143221).

The spelling of 1221212022000 in words is "one trillion, two hundred twenty-one billion, two hundred twelve million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 139 150 200 240 250 278 300 375 400 417 500 556 600 695 750 834 1000 1112 1200 1390 1500 1668 2000 2085 2224 2780 3000 3336 3475 4170 5560 6000 6672 6950 8340 10425 11120 13900 16680 17375 20850 27800 33360 34750 41700 52125 55600 69500 83400 104250 139000 166800 208500 278000 417000 834000 1464283 2928566 4392849 5857132 7321415 8785698 11714264 14642830 17571396 21964245 23428528 29285660 35142792 36607075 43928490 58571320 70285584 73214150 87856980 109821225 117142640 146428300 175713960 183035375 203535337 219642450 292856600 351427920 366070750 407070674 439284900 549106125 585713200 610606011 732141500 814141348 878569800 1017676685 1098212250 1221212022 1464283000 1628282696 1757139600 2035353370 2196424500 2442424044 2928566000 3053030055 3256565392 4070706740 4392849000 4884848088 5088383425 6106060110 8141413480 8785698000 9769696176 10176766850 12212120220 15265150275 16282826960 20353533700 24424240440 25441917125 30530300550 40707067400 48848480880 50883834250 61060601100 76325751375 81414134800 101767668500 122121202200 152651502750 203535337000 244242404400 305303005500 407070674000 610606011000 1221212022000