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1120012200020 = 2257191376711119
BaseRepresentation
bin10000010011000101111…
…011011110100001010100
310222001221120112212021002
4100103011323132201110
5121322241110400040
62214305420242432
7143626642423010
oct20230573364124
93861846485232
101120012200020
113a1aa376307a
121610959a0418
1381802b64c4c
143c2cd247540
151e20282ba15
hex104c5ede854

1120012200020 has 96 divisors (see below), whose sum is σ = 2703063121920. Its totient is φ = 381857938560.

The previous prime is 1120012199989. The next prime is 1120012200071. The reversal of 1120012200020 is 200022100211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120012199974 and 1120012200010.

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, 100724021 + ... + 100735139.

It is an arithmetic number, because the mean of its divisors is an integer number (28156907520).

Almost surely, 21120012200020 is an apocalyptic number.

1120012200020 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 1120012200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351531560960).

1120012200020 is an abundant number, since it is smaller than the sum of its proper divisors (1583050921900).

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

1120012200020 is a wasteful number, since it uses less digits than its factorization.

1120012200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15093 (or 15091 counting only the distinct ones).

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

Adding to 1120012200020 its reverse (200022100211), we get a palindrome (1320034300231).

The spelling of 1120012200020 in words is "one trillion, one hundred twenty billion, twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3767 3820 5348 6685 7534 11119 13370 15068 18835 22238 26369 26740 37670 44476 52738 55595 75340 77833 105476 111190 131845 155666 222380 263690 311332 389165 527380 719497 778330 1438994 1556660 2123729 2877988 3597485 4247458 5036479 7194970 8494916 10072958 10618645 14389940 14866103 20145916 21237290 25182395 29732206 41885273 42474580 50364790 59464412 74330515 83770546 100729580 148661030 167541092 209426365 293196911 297322060 418852730 586393822 837705460 1172787644 1465984555 2931969110 5863938220 8000087143 16000174286 32000348572 40000435715 56000610001 80000871430 112001220002 160001742860 224002440004 280003050005 560006100010 1120012200020