Search a number
-
+
12202132053144 = 233111511069128631
BaseRepresentation
bin1011000110010000011110…
…1111110001110010011000
31121012111211120012022101010
42301210013233301302120
53044404431301200034
641541325421253520
72366401131062625
oct261440757616230
947174746168333
1012202132053144
1139849934870a0
121450a314042a0
136a686b640267
1430282ccd134c
1516261363e3e9
hexb1907bf1c98

12202132053144 has 128 divisors (see below), whose sum is σ = 33503233167360. Its totient is φ = 3672656400000.

The previous prime is 12202132053091. The next prime is 12202132053169. The reversal of 12202132053144 is 44135023120221.

It is a happy number.

12202132053144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426171709 + ... + 426200339.

It is an arithmetic number, because the mean of its divisors is an integer number (261744009120).

Almost surely, 212202132053144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202132053144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751616583680).

12202132053144 is an abundant number, since it is smaller than the sum of its proper divisors (21301101114216).

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

12202132053144 is a wasteful number, since it uses less digits than its factorization.

12202132053144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39493 (or 39489 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12202132053144 its reverse (44135023120221), we get a palindrome (56337155173365).

The spelling of 12202132053144 in words is "twelve trillion, two hundred two billion, one hundred thirty-two million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 1208 1661 1812 3322 3624 4983 6644 9966 10691 13288 19932 21382 28631 32073 39864 42764 57262 64146 85528 85893 114524 117601 128292 171786 229048 235202 256584 314941 343572 352803 470404 629882 687144 705606 940808 944823 1259764 1411212 1614341 1889646 2519528 2822424 3228682 3779292 4323281 4843023 6457364 7558584 8646562 9686046 12914728 12969843 17293124 17757751 19372092 25939686 34586248 35515502 38744184 47556091 51879372 53273253 71031004 95112182 103758744 106546506 142062008 142668273 190224364 213093012 285336546 306094021 380448728 426186024 570673092 612188042 918282063 1141346184 1224376084 1836564126 2448752168 3367034231 3673128252 6734068462 7346256504 10101102693 13468136924 20202205386 26936273848 40404410772 46220197171 80808821544 92440394342 138660591513 184880788684 277321183026 369761577368 508422168881 554642366052 1016844337762 1109284732104 1525266506643 2033688675524 3050533013286 4067377351048 6101066026572 12202132053144