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1121132231120 = 2451110112613999
BaseRepresentation
bin10000010100001000101…
…100000011100111010000
310222011211122002100002102
4100110020230003213100
5121332034322343440
62215012510335532
7143666462504546
oct20241054034720
93864748070072
101121132231120
113a2518a0a010
12161348aba5a8
1381950c0a245
143c397cbbd96
151e26ad1cb15
hex10508b039d0

1121132231120 has 80 divisors (see below), whose sum is σ = 2871753696000. Its totient is φ = 403647936000.

The previous prime is 1121132231117. The next prime is 1121132231123. The reversal of 1121132231120 is 211322311211.

It is an interprime number because it is at equal distance from previous prime (1121132231117) and next prime (1121132231123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11211322311202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1121132231092 and 1121132231101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121132231123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6218120 + ... + 6395879.

It is an arithmetic number, because the mean of its divisors is an integer number (35896921200).

Almost surely, 21121132231120 is an apocalyptic number.

1121132231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121132231120 is an abundant number, since it is smaller than the sum of its proper divisors (1750621464880).

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

1121132231120 is a wasteful number, since it uses less digits than its factorization.

1121132231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12614124 (or 12614118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1121132231120 its reverse (211322311211), we get a palindrome (1332454542331).

It can be divided in two parts, 1 and 121132231120, that added together give a palindrome (121132231121).

The spelling of 1121132231120 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 12613999 25227998 50455996 63069995 100911992 126139990 138753989 201823984 252279980 277507978 504559960 555015956 693769945 1009119920 1110031912 1274013899 1387539890 2220063824 2548027798 2775079780 5096055596 5550159560 6370069495 10192111192 11100319120 12740138990 14014152889 20384222384 25480277980 28028305778 50960555960 56056611556 70070764445 101921111920 112113223112 140141528890 224226446224 280283057780 560566115560 1121132231120