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12100210021000 = 235319811785269
BaseRepresentation
bin1011000000010100110010…
…1110000101001010001000
31120211202202102220121200201
42300011030232011022020
53041222212231133000
641422432034341544
72356132325103103
oct260051456051210
946752672817621
1012100210021000
113945741117882
121435127a2a8b4
1369a0778848ba
142db9208ad73a
1515eb4a7e396a
hexb014cb85288

12100210021000 has 128 divisors (see below), whose sum is σ = 29841516432000. Its totient is φ = 4579682976000.

The previous prime is 12100210020973. The next prime is 12100210021001. The reversal of 12100210021000 is 12001200121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12100210021001) 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, 15016366 + ... + 15801634.

It is an arithmetic number, because the mean of its divisors is an integer number (233136847125).

Almost surely, 212100210021000 is an apocalyptic number.

12100210021000 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 12100210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920758216000).

12100210021000 is an abundant number, since it is smaller than the sum of its proper divisors (17741306411000).

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

12100210021000 is a wasteful number, since it uses less digits than its factorization.

12100210021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786120 (or 786106 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100210021000 its reverse (12001200121), we get a palindrome (12112211221121).

The spelling of 12100210021000 in words is "twelve trillion, one hundred billion, two hundred ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 811 950 1000 1622 1900 2375 3244 3800 4055 4750 6488 8110 9500 15409 16220 19000 20275 30818 32440 40550 61636 77045 81100 101375 123272 154090 162200 202750 308180 385225 405500 616360 770450 785269 811000 1540900 1570538 1926125 3081800 3141076 3852250 3926345 6282152 7704500 7852690 14920111 15409000 15705380 19631725 29840222 31410760 39263450 59680444 74600555 78526900 98158625 119360888 149201110 157053800 196317250 298402220 373002775 392634500 596804440 636853159 746005550 785269000 1273706318 1492011100 1865013875 2547412636 2984022200 3184265795 3730027750 5094825272 6368531590 7460055500 12100210021 12737063180 14920111000 15921328975 24200420042 25474126360 31842657950 48400840084 60501050105 63685315900 79606644875 96801680168 121002100210 127370631800 159213289750 242004200420 302505250525 318426579500 484008400840 605010501050 636853159000 1210021002100 1512526252625 2420042004200 3025052505250 6050105010500 12100210021000