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1120121001220 = 2251317416181001
BaseRepresentation
bin10000010011001100011…
…010100001010100000100
310222002020011021112110011
4100103030122201110010
5121323001434014340
62214324304240004
7143632433262454
oct20231432412404
93862204245404
101120121001220
113a204a116021
12161106310004
138181c56a760
143c2dd889d64
151e20c16e0ea
hex104cc6a1504

1120121001220 has 96 divisors (see below), whose sum is σ = 2747628457056. Its totient is φ = 379760640000.

The previous prime is 1120121001211. The next prime is 1120121001247. The reversal of 1120121001220 is 221001210211.

It can be written as a sum of positive squares in 16 ways, for example, as 195631059204 + 924489942016 = 442302^2 + 961504^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1120121001220.

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, 2909281 + ... + 3271720.

It is an arithmetic number, because the mean of its divisors is an integer number (28621129761).

Almost surely, 21120121001220 is an apocalyptic number.

1120121001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120121001220 is an abundant number, since it is smaller than the sum of its proper divisors (1627507455836).

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

1120121001220 is a wasteful number, since it uses less digits than its factorization.

1120121001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181081 (or 6181079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1120121001220 its reverse (221001210211), we get a palindrome (1341122211431).

The spelling of 1120121001220 in words is "one trillion, one hundred twenty billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 41 52 65 68 82 85 130 164 170 205 221 260 340 410 442 533 697 820 884 1066 1105 1394 2132 2210 2665 2788 3485 4420 5330 6970 9061 10660 13940 18122 36244 45305 90610 181220 6181001 12362002 24724004 30905005 61810010 80353013 105077017 123620020 160706026 210154034 253421041 321412052 401765065 420308068 506842082 525385085 803530130 1013684164 1050770170 1267105205 1366001221 1607060260 2101540340 2534210410 2732002442 3294473533 4308157697 5068420820 5464004884 6588947066 6830006105 8616315394 13177894132 13660012210 16472367665 17232630788 21540788485 27320024420 32944735330 43081576970 56006050061 65889470660 86163153940 112012100122 224024200244 280030250305 560060500610 1120121001220