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1122020000000 = 285756101
BaseRepresentation
bin10000010100111101100…
…110101000000100000000
310222021010111120200001022
4100110331212220010000
5121340344110000000
62215240542325012
7144030462432164
oct20247546500400
93867114520038
101122020000000
113a29340479a9
12161556289768
1381a62b10683
143c43db72ca4
151e2bdc30585
hex1053d9a8100

1122020000000 has 144 divisors (see below), whose sum is σ = 2799614122032. Its totient is φ = 448800000000.

The previous prime is 1122019999993. The next prime is 1122020000029. The reversal of 1122020000000 is 202211.

It can be written as a sum of positive squares in 8 ways, for example, as 934052663296 + 187967336704 = 966464^2 + 433552^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 19971950 + ... + 20028050.

Almost surely, 21122020000000 is an apocalyptic number.

1122020000000 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 1122020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399807061016).

1122020000000 is an abundant number, since it is smaller than the sum of its proper divisors (1677594122032).

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

1122020000000 is an frugal number, since it uses more digits than its factorization.

1122020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56152 (or 56108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1122020000000 its reverse (202211), we get a palindrome (1122020202211).

The spelling of 1122020000000 in words is "one trillion, one hundred twenty-two billion, twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 56101 62500 78125 80000 100000 112202 125000 156250 160000 200000 224404 250000 280505 312500 400000 448808 500000 561010 625000 800000 897616 1000000 1122020 1250000 1402525 1795232 2000000 2244040 2500000 2805050 3590464 4000000 4488080 5000000 5610100 7012625 7180928 8976160 10000000 11220200 14025250 14361856 17952320 20000000 22440400 28050500 35063125 35904640 44880800 56101000 70126250 71809280 89761600 112202000 140252500 175315625 179523200 224404000 280505000 350631250 359046400 448808000 561010000 701262500 876578125 897616000 1122020000 1402525000 1753156250 1795232000 2244040000 2805050000 3506312500 4382890625 4488080000 5610100000 7012625000 8765781250 8976160000 11220200000 14025250000 17531562500 22440400000 28050500000 35063125000 44880800000 56101000000 70126250000 112202000000 140252500000 224404000000 280505000000 561010000000 1122020000000