Search a number
-
+
12001221221110 = 2511415694676669
BaseRepresentation
bin1010111010100100000010…
…0001110001101011110110
31120111022020202000120012221
42232221000201301223312
53033112000113033420
641305141313032554
72346026310143632
oct256510041615366
946438222016187
1012001221221110
113907764565350
121419b0085575a
13690930704224
142d6c0dc73dc2
1515c2a524dcaa
hexaea40871af6

12001221221110 has 64 divisors (see below), whose sum is σ = 24183247636800. Its totient is φ = 4250155878400.

The previous prime is 12001221221081. The next prime is 12001221221111. The reversal of 12001221221110 is 1112212210021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001221221111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227856 + ... + 4904524.

It is an arithmetic number, because the mean of its divisors is an integer number (377863244325).

Almost surely, 212001221221110 is an apocalyptic number.

12001221221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001221221110 is an abundant number, since it is smaller than the sum of its proper divisors (12182026415690).

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

12001221221110 is a wasteful number, since it uses less digits than its factorization.

12001221221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677297.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12001221221110 its reverse (1112212210021), we get a palindrome (13113433431131).

The spelling of 12001221221110 in words is "twelve trillion, one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 41 55 82 110 205 410 451 569 902 1138 2255 2845 4510 5690 6259 12518 23329 31295 46658 62590 116645 233290 256619 513238 1283095 2566190 4676669 9353338 23383345 46766690 51443359 102886718 191743429 257216795 383486858 514433590 958717145 1917434290 2109177719 2661024661 4218355438 5322049322 10545888595 13305123305 21091777190 26610246610 29271271271 58542542542 109102011101 146356356355 218204022202 292712712710 545510055505 1091020111010 1200122122111 2400244244222 6000610610555 12001221221110