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2121122112000 = 2935311047511
BaseRepresentation
bin11110110111011100101…
…110101110001000000000
321111202222122110122202020
4132313130232232020000
5234223024230041000
64302232520121440
7306150245320023
oct36673456561000
97452878418666
102121122112000
117486211532a1
122a3107606280
13125037071c28
147493cc4d1ba
153a296735ba0
hex1eddcbae200

2121122112000 has 160 divisors (see below), whose sum is σ = 7052201380224. Its totient is φ = 565632512000.

The previous prime is 2121122111981. The next prime is 2121122112023. The reversal of 2121122112000 is 2112211212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5331756 + ... + 5715755.

Almost surely, 22121122112000 is an apocalyptic number.

2121122112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121122112000 is an abundant number, since it is smaller than the sum of its proper divisors (4931079268224).

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

2121122112000 is an equidigital number, since it uses as much as digits as its factorization.

2121122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047547 (or 11047521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121122112000 its reverse (2112211212), we get a palindrome (2123234323212).

The spelling of 2121122112000 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12800 16000 19200 24000 32000 38400 48000 64000 96000 192000 11047511 22095022 33142533 44190044 55237555 66285066 88380088 110475110 132570132 165712665 176760176 220950220 265140264 276187775 331425330 353520352 441900440 530280528 552375550 662850660 707040704 828563325 883800880 1060561056 1104751100 1325701320 1380938875 1414081408 1657126650 1767601760 2121122112 2209502200 2651402640 2761877750 2828162816 3314253300 3535203520 4142816625 4242244224 4419004400 5302805280 5523755500 5656325632 6628506600 7070407040 8285633250 8484488448 8838008800 10605610560 11047511000 13257013200 14140814080 16571266500 16968976896 17676017600 21211221120 22095022000 26514026400 28281628160 33142533000 35352035200 42422442240 44190044000 53028052800 66285066000 70704070400 84844884480 88380088000 106056105600 132570132000 141408140800 176760176000 212112211200 265140264000 353520352000 424224422400 530280528000 707040704000 1060561056000 2121122112000