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1120220211220 = 22511101115143801
BaseRepresentation
bin10000010011010010010…
…100111110100000010100
310222002111001221220222121
4100103102110332200110
5121323202333224340
62214342210505324
7143635046454445
oct20232224764024
93862431856877
101120220211220
113a20a0117a60
12161133595244
1381836c957b6
143c30cb132cc
151e215c1994a
hex104d253e814

1120220211220 has 96 divisors (see below), whose sum is σ = 2594042744832. Its totient is φ = 402960000000.

The previous prime is 1120220211203. The next prime is 1120220211223. The reversal of 1120220211220 is 221120220211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120220211194 and 1120220211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120220211223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25553320 + ... + 25597120.

It is an arithmetic number, because the mean of its divisors is an integer number (27021278592).

Almost surely, 21120220211220 is an apocalyptic number.

1120220211220 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 1120220211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297021372416).

1120220211220 is an abundant number, since it is smaller than the sum of its proper divisors (1473822533612).

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

1120220211220 is a wasteful number, since it uses less digits than its factorization.

1120220211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45073 (or 45071 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1120220211220 its reverse (221120220211), we get a palindrome (1341340431431).

The spelling of 1120220211220 in words is "one trillion, one hundred twenty billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1151 2020 2222 2302 4444 4604 5555 5755 11110 11510 12661 22220 23020 25322 43801 50644 63305 87602 116251 126610 175204 219005 232502 253220 438010 465004 481811 581255 876020 963622 1162510 1278761 1927244 2325020 2409055 2557522 4423901 4818110 5115044 6393805 8847802 9636220 12787610 17695604 22119505 25575220 44239010 48662911 50414951 88478020 97325822 100829902 194651644 201659804 243314555 252074755 486629110 504149510 554564461 973258220 1008299020 1109128922 2218257844 2772822305 5091910051 5545644610 10183820102 11091289220 20367640204 25459550255 50919100510 56011010561 101838201020 112022021122 224044042244 280055052805 560110105610 1120220211220