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1122020104000 = 2653413420793
BaseRepresentation
bin10000010100111101100…
…111000001011101000000
310222021010111202221201011
4100110331213001131000
5121340344121312000
62215240544450304
7144030463344325
oct20247547013500
93867114687634
101122020104000
113a2934109054
12161556319994
1381a62b48b03
143c43db9cb4c
151e2bdc512ba
hex1053d9c1740

1122020104000 has 112 divisors (see below), whose sum is σ = 2846456370576. Its totient is φ = 437861376000.

The previous prime is 1122020103949. The next prime is 1122020104021. The reversal of 1122020104000 is 4010202211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 677579215104 + 444440888896 = 823152^2 + 666664^2 .

It is a super-2 number, since 2×11220201040002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382397 + ... + 2038396.

It is an arithmetic number, because the mean of its divisors is an integer number (25414789023).

Almost surely, 21122020104000 is an apocalyptic number.

1122020104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122020104000 is an abundant number, since it is smaller than the sum of its proper divisors (1724436266576).

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

1122020104000 is an equidigital number, since it uses as much as digits as its factorization.

1122020104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420861 (or 3420841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1122020104000 its reverse (4010202211), we get a palindrome (1126030306211).

The spelling of 1122020104000 in words is "one trillion, one hundred twenty-two billion, twenty million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 410 500 656 800 820 1000 1025 1312 1600 1640 2000 2050 2624 3280 4000 4100 5125 6560 8000 8200 10250 13120 16400 20500 32800 41000 65600 82000 164000 328000 3420793 6841586 13683172 17103965 27366344 34207930 54732688 68415860 85519825 109465376 136831720 140252513 171039650 218930752 273663440 280505026 342079300 427599125 547326880 561010052 684158600 701262565 855198250 1094653760 1122020104 1368317200 1402525130 1710396500 2244040208 2736634400 2805050260 3420793000 3506312825 4488080416 5473268800 5610100520 6841586000 7012625650 8976160832 11220201040 13683172000 14025251300 17531564125 22440402080 27366344000 28050502600 35063128250 44880804160 56101005200 70126256500 112202010400 140252513000 224404020800 280505026000 561010052000 1122020104000