Search a number
-
+
121444202141020 = 225113119137194263
BaseRepresentation
bin11011100111001111101110…
…100001110101010101011100
3120220222221201020220020201101
4123213033232201311111130
5111404220211222003040
61110142410220522444
734403024353634053
oct3347175641652534
9526887636806641
10121444202141020
1135772219079260
12117548496b0424
13529c1a6861475
1421dbd05d7939a
15e0909815109a
hex6e73ee87555c

121444202141020 has 96 divisors (see below), whose sum is σ = 279144201563136. Its totient is φ = 44014485273600.

The previous prime is 121444202140967. The next prime is 121444202141021. The reversal of 121444202141020 is 20141202444121.

It is a self number, because there is not a number n which added to its sum of digits gives 121444202141020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121444202141021) 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, 625056409 + ... + 625250671.

It is an arithmetic number, because the mean of its divisors is an integer number (2907752099616).

Almost surely, 2121444202141020 is an apocalyptic number.

121444202141020 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 121444202141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139572100781568).

121444202141020 is an abundant number, since it is smaller than the sum of its proper divisors (157699999422116).

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

121444202141020 is a wasteful number, since it uses less digits than its factorization.

121444202141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203731 (or 203729 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 121444202141020 its reverse (20141202444121), we get a palindrome (141585404585141).

The spelling of 121444202141020 in words is "one hundred twenty-one trillion, four hundred forty-four billion, two hundred two million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 3110 3421 6220 6842 9137 13684 17105 18274 34210 36548 45685 68420 91370 100507 182740 194263 201014 388526 402028 502535 777052 971315 1005070 1942630 2010140 2136893 2841607 3885260 4273786 5683214 8547572 10684465 11366428 14208035 21368930 28416070 31257677 42737860 56832140 60415793 62515354 120831586 125030708 156288385 241663172 302078965 312576770 604157930 625153540 664573723 1208315860 1329147446 1774981031 2658294892 3322868615 3549962062 6645737230 7099924124 8874905155 13291474460 17749810310 19524791341 35499620620 39049582682 78099165364 97623956705 195247913410 390495826820 552019100641 1104038201282 2208076402564 2760095503205 5520191006410 6072210107051 11040382012820 12144420214102 24288840428204 30361050535255 60722101070510 121444202141020