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1120201123200 = 27352116687617
BaseRepresentation
bin10000010011010001001…
…100001010010110000000
310222002102202001011010220
4100103101030022112000
5121323132441420300
62214340245423040
7143634425304315
oct20232114122600
93862382034126
101120201123200
113a209036a935
1216112910aa80
1381833041503
143c30a384d0c
151e2141e8da0
hex104d130a580

1120201123200 has 96 divisors (see below), whose sum is σ = 3689662481160. Its totient is φ = 298720296960.

The previous prime is 1120201123177. The next prime is 1120201123211. The reversal of 1120201123200 is 23211020211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1120201123200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58334209 + ... + 58353408.

Almost surely, 21120201123200 is an apocalyptic number.

1120201123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120201123200 is an abundant number, since it is smaller than the sum of its proper divisors (2569461357960).

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

1120201123200 is a wasteful number, since it uses less digits than its factorization.

1120201123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116687644 (or 116687627 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1120201123200 its reverse (23211020211), we get a palindrome (1143412143411).

The spelling of 1120201123200 in words is "one trillion, one hundred twenty billion, two hundred one million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 116687617 233375234 350062851 466750468 583438085 700125702 933500936 1166876170 1400251404 1750314255 1867001872 2333752340 2800502808 2917190425 3500628510 3734003744 4667504680 5601005616 5834380850 7001257020 7468007488 8751571275 9335009360 11202011232 11668761700 14002514040 14936014976 17503142550 18670018720 22404022464 23337523400 28005028080 35006285100 37340037440 44808044928 46675046800 56010056160 70012570200 74680074880 93350093600 112020112320 140025140400 186700187200 224040224640 280050280800 373400374400 560100561600 1120201123200