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1120020012020 = 2257133329184859
BaseRepresentation
bin10000010011000110011…
…001010001101111110100
310222001222010020202022102
4100103012121101233310
5121322300110341040
62214310255521232
7143630066010350
oct20230631215764
93861863222272
101120020012020
113a1aa8109378
12161098529218
138180466b930
143c2d02bc460
151e203371515
hex104c6651bf4

1120020012020 has 96 divisors (see below), whose sum is σ = 2895706195200. Its totient is φ = 354359476224.

The previous prime is 1120020012019. The next prime is 1120020012077. The reversal of 1120020012020 is 202100200211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120020011992 and 1120020012010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5966351 + ... + 6151209.

It is an arithmetic number, because the mean of its divisors is an integer number (30163606200).

Almost surely, 21120020012020 is an apocalyptic number.

1120020012020 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 1120020012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447853097600).

1120020012020 is an abundant number, since it is smaller than the sum of its proper divisors (1775686183180).

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

1120020012020 is a wasteful number, since it uses less digits than its factorization.

1120020012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188217 (or 188215 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1120020012020 its reverse (202100200211), we get a palindrome (1322120212231).

The spelling of 1120020012020 in words is "one trillion, one hundred twenty billion, twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3329 6658 13316 16645 23303 33290 43277 46606 66580 86554 93212 116515 173108 184859 216385 233030 302939 369718 432770 466060 605878 739436 865540 924295 1211756 1294013 1514695 1848590 2403167 2588026 3029390 3697180 4806334 5176052 6058780 6470065 9612668 12015835 12940130 16822169 24031670 25880260 33644338 48063340 67288676 84110845 168221690 336443380 615395611 1230791222 2461582444 3076978055 4307769277 6153956110 8000142943 8615538554 12307912220 16000285886 17231077108 21538846385 32000571772 40000714715 43077692770 56001000601 80001429430 86155385540 112002001202 160002858860 224004002404 280005003005 560010006010 1120020012020