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1120111221220 = 225449165775277
BaseRepresentation
bin10000010011001011110…
…101001101100111100100
310222002012110212122210221
4100103023311031213210
5121322441433034340
62214323314454124
7143632254200365
oct20231365154744
93862173778727
101120111221220
113a2044646182
12161102b94344
138181a525084
143c2dc461b6c
151e20b38b44a
hex104cbd4d9e4

1120111221220 has 48 divisors (see below), whose sum is σ = 2358926463600. Its totient is φ = 446770888704.

The previous prime is 1120111221199. The next prime is 1120111221283. The reversal of 1120111221220 is 221221110211.

It can be written as a sum of positive squares in 8 ways, for example, as 8406689344 + 1111704531876 = 91688^2 + 1054374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1120111221194 and 1120111221203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14842222 + ... + 14917498.

It is an arithmetic number, because the mean of its divisors is an integer number (49144301325).

Almost surely, 21120111221220 is an apocalyptic number.

1120111221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120111221220 is an abundant number, since it is smaller than the sum of its proper divisors (1238815242380).

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

1120111221220 is a wasteful number, since it uses less digits than its factorization.

1120111221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77392 (or 77390 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1120111221220 its reverse (221221110211), we get a palindrome (1341332331431).

The spelling of 1120111221220 in words is "one trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 449 898 1657 1796 2245 3314 4490 6628 8285 8980 16570 33140 75277 150554 301108 376385 743993 752770 1487986 1505540 2975972 3719965 7439930 14879860 33799373 67598746 124733989 135197492 168996865 249467978 337993730 498935956 623669945 675987460 1247339890 2494679780 56005561061 112011122122 224022244244 280027805305 560055610610 1120111221220