Search a number
-
+
1221201020220 = 22351371213122477
BaseRepresentation
bin10001110001010101010…
…000001100010100111100
311022202010121011112020120
4101301111100030110330
5130002004430121340
62333002332014540
7154141333254426
oct21612520142474
94282117145216
101221201020220
114309aa159405
12178815901450
138b20aa5329c
144316c127816
1521b760e44d0
hex11c5540c53c

1221201020220 has 96 divisors (see below), whose sum is σ = 3447189361728. Its totient is φ = 323007424512.

The previous prime is 1221201020201. The next prime is 1221201020267. The reversal of 1221201020220 is 220201021221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1221201020220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9909622 + ... + 10032098.

It is an arithmetic number, because the mean of its divisors is an integer number (35908222518).

Almost surely, 21221201020220 is an apocalyptic number.

1221201020220 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 1221201020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723594680864).

1221201020220 is an abundant number, since it is smaller than the sum of its proper divisors (2225988341508).

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

1221201020220 is a wasteful number, since it uses less digits than its factorization.

1221201020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123839 (or 123837 counting only the distinct ones).

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

Adding to 1221201020220 its reverse (220201021221), we get a palindrome (1441402041441).

The spelling of 1221201020220 in words is "one trillion, two hundred twenty-one billion, two hundred one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1213 1370 1644 2055 2426 2740 3639 4110 4852 6065 7278 8220 12130 14556 18195 24260 36390 72780 122477 166181 244954 332362 367431 489908 498543 612385 664724 734862 830905 997086 1224770 1469724 1661810 1837155 1994172 2449540 2492715 3323620 3674310 4985430 7348620 9970860 16779349 33558698 50338047 67117396 83896745 100676094 148564601 167793490 201352188 251690235 297129202 335586980 445693803 503380470 594258404 742823005 891387606 1006760940 1485646010 1782775212 2228469015 2971292020 4456938030 8913876060 20353350337 40706700674 61060051011 81413401348 101766751685 122120102022 203533503370 244240204044 305300255055 407067006740 610600510110 1221201020220