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12112202021004 = 2234139521516209
BaseRepresentation
bin1011000001000001011101…
…1111111011100010001100
31120212220201011222100010000
42300100113133323202030
53041421242204133004
641432134020444300
72360035441320201
oct260202737734214
946786634870100
1012112202021004
11394a835304988
121437513b49690
1369b239177ca7
142dc33b407ca8
151600ed4d3c39
hexb04177fb88c

12112202021004 has 120 divisors (see below), whose sum is σ = 31952758899600. Its totient is φ = 4000653296640.

The previous prime is 12112202020999. The next prime is 12112202021027. The reversal of 12112202021004 is 40012020221121.

12112202021004 is a `hidden beast` number, since 1 + 211 + 220 + 20 + 210 + 0 + 4 = 666.

12112202021004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121122020210042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23205652 + ... + 23721860.

It is an arithmetic number, because the mean of its divisors is an integer number (266272990830).

Almost surely, 212112202021004 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 12112202021004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976379449800).

12112202021004 is an abundant number, since it is smaller than the sum of its proper divisors (19840556878596).

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

12112202021004 is a wasteful number, since it uses less digits than its factorization.

12112202021004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516885 (or 516874 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12112202021004 its reverse (40012020221121), we get a palindrome (52124222242125).

The spelling of 12112202021004 in words is "twelve trillion, one hundred twelve billion, two hundred two million, twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 417 521 556 834 1042 1251 1563 1668 2084 2502 3126 3753 4689 5004 6252 7506 9378 11259 14067 15012 18756 22518 28134 42201 45036 56268 72419 84402 144838 168804 217257 289676 434514 516209 651771 869028 1032418 1303542 1548627 1955313 2064836 2607084 3097254 3910626 4645881 5865939 6194508 7821252 9291762 11731878 13937643 18583524 23463756 27875286 41812929 55750572 71753051 83625858 143506102 167251716 215259153 268944889 287012204 430518306 537889778 645777459 806834667 861036612 1075779556 1291554918 1613669334 1937332377 2420504001 2583109836 3227338668 3874664754 4841008002 5811997131 7261512003 7749329508 9682016004 11623994262 14523024006 21784536009 23247988524 29046048012 37383339571 43569072018 74766679142 87138144036 112150018713 149533358284 224300037426 336450056139 448600074852 672900112278 1009350168417 1345800224556 2018700336834 3028050505251 4037400673668 6056101010502 12112202021004