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1122013322120 = 23579472975083
BaseRepresentation
bin10000010100111101001…
…101001001101110001000
310222021010001000101201102
4100110331031021232020
5121340340402301440
62215240143240532
7144030351610145
oct20247515115610
93867101011642
101122013322120
113a29302a6799
12161553ba9148
1381a61612c72
143c43cd153cc
151e2bd361b15
hex1053d349b88

1122013322120 has 64 divisors (see below), whose sum is σ = 2557060704000. Its totient is φ = 443024644608.

The previous prime is 1122013322099. The next prime is 1122013322173. The reversal of 1122013322120 is 212233102211.

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 = 1122013322092 and 1122013322101.

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, 14906099 + ... + 14981181.

It is an arithmetic number, because the mean of its divisors is an integer number (39954073500).

Almost surely, 21122013322120 is an apocalyptic number.

1122013322120 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 1122013322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278530352000).

1122013322120 is an abundant number, since it is smaller than the sum of its proper divisors (1435047381880).

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

1122013322120 is a wasteful number, since it uses less digits than its factorization.

1122013322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79902 (or 79898 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1122013322120 its reverse (212233102211), we get a palindrome (1334246424331).

The spelling of 1122013322120 in words is "one trillion, one hundred twenty-two billion, thirteen million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4729 9458 18916 23645 37832 47290 75083 94580 150166 189160 300332 373591 375415 600664 747182 750830 1494364 1501660 1867955 2988728 3003320 3735910 5931557 7471820 11863114 14943640 23726228 29657785 47452456 59315570 118631140 237262280 355067507 710135014 1420270028 1775337535 2840540056 3550675070 7101350140 14202700280 28050333053 56100666106 112201332212 140251665265 224402664424 280503330530 561006661060 1122013322120