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1120001221000 = 235310122349727
BaseRepresentation
bin10000010011000101010…
…001100110000110001000
310222001220210220001212201
4100103011101212012020
5121322230303033000
62214304345045544
7143626450205134
oct20230521460610
93861823801781
101120001221000
113a1a98544402
121610921868b4
13818007bc89c
143c2cb9ca3c4
151e2018ad96a
hex104c5466188

1120001221000 has 128 divisors (see below), whose sum is σ = 2658673704960. Its totient is φ = 441566880000.

The previous prime is 1120001220941. The next prime is 1120001221013. The reversal of 1120001221000 is 1221000211.

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

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, 22498137 + ... + 22547863.

It is an arithmetic number, because the mean of its divisors is an integer number (20770888320).

Almost surely, 21120001221000 is an apocalyptic number.

1120001221000 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 1120001221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329336852480).

1120001221000 is an abundant number, since it is smaller than the sum of its proper divisors (1538672483960).

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

1120001221000 is a wasteful number, since it uses less digits than its factorization.

1120001221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50072 (or 50058 counting only the distinct ones).

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

Adding to 1120001221000 its reverse (1221000211), we get a palindrome (1121222221211).

The spelling of 1120001221000 in words is "one trillion, one hundred twenty billion, one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 223 250 404 446 500 505 808 892 1000 1010 1115 1784 2020 2230 2525 4040 4460 5050 5575 8920 10100 11150 12625 20200 22300 22523 25250 27875 44600 45046 49727 50500 55750 90092 99454 101000 111500 112615 180184 198908 223000 225230 248635 397816 450460 497270 563075 900920 994540 1126150 1243175 1989080 2252300 2486350 2815375 4504600 4972700 5022427 5630750 6215875 9945400 10044854 11089121 11261500 12431750 20089708 22178242 22523000 24863500 25112135 40179416 44356484 49727000 50224270 55445605 88712968 100448540 110891210 125560675 200897080 221782420 251121350 277228025 443564840 502242700 554456050 627803375 1004485400 1108912100 1120001221 1255606750 1386140125 2217824200 2240002442 2511213500 2772280250 4480004884 5022427000 5544560500 5600006105 8960009768 11089121000 11200012210 22400024420 28000030525 44800048840 56000061050 112000122100 140000152625 224000244200 280000305250 560000610500 1120001221000