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12100222222000 = 2453111513642451
BaseRepresentation
bin1011000000010100110101…
…1100100111111010110000
31120211202210021212111022121
42300011031130213322300
53041222223342101000
641422433152044024
72356132533600403
oct260051534477260
946752707774277
1012100222222000
113945747aa0650
12143512bb33614
1369a07a267223
142db922367d3a
1515eb4b903b1a
hexb014d727eb0

12100222222000 has 160 divisors (see below), whose sum is σ = 32129573718528. Its totient is φ = 4370940000000.

The previous prime is 12100222221961. The next prime is 12100222222043. The reversal of 12100222222000 is 22222200121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1500775 + ... + 5143225.

Almost surely, 212100222222000 is an apocalyptic number.

12100222222000 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 12100222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064786859264).

12100222222000 is an abundant number, since it is smaller than the sum of its proper divisors (20029351496528).

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

12100222222000 is a wasteful number, since it uses less digits than its factorization.

12100222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642636 (or 3642620 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12100222222000 its reverse (22222200121), we get a palindrome (12122444422121).

The spelling of 12100222222000 in words is "twelve trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 151 176 200 220 250 275 302 400 440 500 550 604 755 880 1000 1100 1208 1375 1510 1661 2000 2200 2416 2750 3020 3322 3775 4400 5500 6040 6644 7550 8305 11000 12080 13288 15100 16610 18875 22000 26576 30200 33220 37750 41525 60400 66440 75500 83050 132880 151000 166100 207625 302000 332200 415250 664400 830500 1661000 3322000 3642451 7284902 14569804 18212255 29139608 36424510 40066961 58279216 72849020 80133922 91061275 145698040 160267844 182122550 200334805 291396080 320535688 364245100 400669610 455306375 550010101 641071376 728490200 801339220 910612750 1001674025 1100020202 1456980400 1602678440 1821225500 2003348050 2200040404 2750050505 3205356880 3642451000 4006696100 4400080808 5008370125 5500101010 6050111111 7284902000 8013392200 8800161616 10016740250 11000202020 12100222222 13750252525 16026784400 20033480500 22000404040 24200444444 27500505050 30250555555 40066961000 44000808080 48400888888 55001010100 60501111110 68751262625 80133922000 96801777776 110002020200 121002222220 137502525250 151252777775 220004040400 242004444440 275005050500 302505555550 484008888880 550010101000 605011111100 756263888875 1100020202000 1210022222200 1512527777750 2420044444400 3025055555500 6050111111000 12100222222000