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1122005204400 = 24352935004337
BaseRepresentation
bin10000010100111100101…
…110001011110110110000
310222021002110201222022010
4100110330232023312300
5121340331313020100
62215235253242520
7144030222610263
oct20247456136660
93867073658263
101122005204400
113a2926761833
12161551333440
1381a5ca30092
143c43bc00cda
151e2bc7ab750
hex1053cb8bdb0

1122005204400 has 60 divisors (see below), whose sum is σ = 3594156675272. Its totient is φ = 299201387520.

The previous prime is 1122005204393. The next prime is 1122005204407. The reversal of 1122005204400 is 44025002211.

It is an interprime number because it is at equal distance from previous prime (1122005204393) and next prime (1122005204407).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1122005204407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467500969 + ... + 467503368.

Almost surely, 21122005204400 is an apocalyptic number.

1122005204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122005204400 is an abundant number, since it is smaller than the sum of its proper divisors (2472151470872).

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

1122005204400 is a wasteful number, since it uses less digits than its factorization.

1122005204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935004358 (or 935004347 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 1122005204400 in words is "one trillion, one hundred twenty-two billion, five million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 935004337 1870008674 2805013011 3740017348 4675021685 5610026022 7480034696 9350043370 11220052044 14025065055 14960069392 18700086740 22440104088 23375108425 28050130110 37400173480 44880208176 46750216850 56100260220 70125325275 74800346960 93500433700 112200520440 140250650550 187000867400 224401040880 280501301100 374001734800 561002602200 1122005204400