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1120022041200 = 243521039061667
BaseRepresentation
bin10000010011000110100…
…001000001001001110000
310222001222021001211211020
4100103012201001021300
5121322301120304300
62214310411215440
7143630122161336
oct20230641011160
93861867054736
101120022041200
113a1aa9274987
12161099147580
1381804bcc42a
143c2d0689b56
151e2036228a0
hex104c6841270

1120022041200 has 120 divisors (see below), whose sum is σ = 3622637386368. Its totient is φ = 295772778240.

The previous prime is 1120022041181. The next prime is 1120022041273. The reversal of 1120022041200 is 21402200211.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1120022041200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4407234 + ... + 4654433.

Almost surely, 21120022041200 is an apocalyptic number.

1120022041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120022041200 is an abundant number, since it is smaller than the sum of its proper divisors (2502615345168).

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

1120022041200 is a wasteful number, since it uses less digits than its factorization.

1120022041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061791 (or 9061780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1120022041200 its reverse (21402200211), we get a palindrome (1141424241411).

The spelling of 1120022041200 in words is "one trillion, one hundred twenty billion, twenty-two million, forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 103 120 150 200 206 240 300 309 400 412 515 600 618 824 1030 1200 1236 1545 1648 2060 2472 2575 3090 4120 4944 5150 6180 7725 8240 10300 12360 15450 20600 24720 30900 41200 61800 123600 9061667 18123334 27185001 36246668 45308335 54370002 72493336 90616670 108740004 135925005 144986672 181233340 217480008 226541675 271850010 362466680 434960016 453083350 543700020 679625025 724933360 906166700 933351701 1087400040 1359250050 1812333400 1866703402 2174800080 2718500100 2800055103 3624666800 3733406804 4666758505 5437000200 5600110206 7466813608 9333517010 10874000400 11200220412 14000275515 14933627216 18667034020 22400440824 23333792525 28000551030 37334068040 44800881648 46667585050 56001102060 70001377575 74668136080 93335170100 112002204120 140002755150 186670340200 224004408240 280005510300 373340680400 560011020600 1120022041200