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1120056566172 = 2231961101797359
BaseRepresentation
bin10000010011001000100…
…100101110000110011100
310222002001200000220011220
4100103020210232012130
5121322333440104142
62214314043213340
7143631021504255
oct20231044560634
93862050026156
101120056566172
113a2016806015
121610a8817250
138180c0c9bcb
143c2d50b5b2c
151e2066922ec
hex104c892e19c

1120056566172 has 96 divisors (see below), whose sum is σ = 2823802598400. Its totient is φ = 344458656000.

The previous prime is 1120056566159. The next prime is 1120056566201. The reversal of 1120056566172 is 2716656500211.

It is a super-2 number, since 2×11200565661722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1006029 + ... + 1803387.

It is an arithmetic number, because the mean of its divisors is an integer number (29414610400).

Almost surely, 21120056566172 is an apocalyptic number.

1120056566172 is a gapful number since it is divisible by the number (12) 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 1120056566172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411901299200).

1120056566172 is an abundant number, since it is smaller than the sum of its proper divisors (1703746032228).

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

1120056566172 is a wasteful number, since it uses less digits than its factorization.

1120056566172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797547 (or 797545 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 1120056566172 in words is "one trillion, one hundred twenty billion, fifty-six million, five hundred sixty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 101 114 122 183 202 228 244 303 366 404 606 732 1159 1212 1919 2318 3477 3838 4636 5757 6161 6954 7676 11514 12322 13908 18483 23028 24644 36966 73932 117059 234118 351177 468236 702354 797359 1404708 1594718 2392077 3189436 4784154 9568308 15149821 30299642 45449463 48638899 60599284 80533259 90898926 97277798 145916697 161066518 181797852 194555596 241599777 291833394 322133036 483199554 583666788 924139081 966399108 1530131921 1848278162 2772417243 3060263842 3696556324 4590395763 4912528799 5544834486 6120527684 9180791526 9825057598 11089668972 14737586397 18361583052 19650115196 29475172794 58950345588 93338047181 186676094362 280014141543 373352188724 560028283086 1120056566172