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200122001200 = 24521150039091
BaseRepresentation
bin1011101001100000110…
…0110110011100110000
3201010112211211222200101
42322120030312130300
511234322213014300
6231533525002144
720313131641432
oct2723014663460
9633484758611
10200122001200
117796471a540
1232950553354
1315b43696c34
14998639c652
155314022b6a
hex2e98336730

200122001200 has 120 divisors (see below), whose sum is σ = 524664115776. Its totient is φ = 72749088000.

The previous prime is 200122001159. The next prime is 200122001243. The reversal of 200122001200 is 2100221002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22008655 + ... + 22017745.

Almost surely, 2200122001200 is an apocalyptic number.

200122001200 is a gapful number since it is divisible by the number (20) 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 200122001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262332057888).

200122001200 is an abundant number, since it is smaller than the sum of its proper divisors (324542114576).

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

200122001200 is a wasteful number, since it uses less digits than its factorization.

200122001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14123 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200122001200 its reverse (2100221002), we get a palindrome (202222222202).

It can be divided in two parts, 20012 and 2001200, that multiplied together give a square (40048014400 = 2001202).

The spelling of 200122001200 in words is "two hundred billion, one hundred twenty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 5003 9091 10006 18182 20012 25015 36364 40024 45455 50030 55033 72728 80048 90910 100001 100060 110066 125075 145456 181820 200002 200120 220132 227275 250150 275165 363640 400004 400240 440264 454550 500005 500300 550330 727280 800008 880528 909100 1000010 1000600 1100660 1375825 1600016 1818200 2000020 2001200 2201320 2500025 2751650 3636400 4000040 4402640 5000050 5503300 8000080 10000100 11006600 20000200 22013200 40000400 45482273 90964546 181929092 227411365 363858184 454822730 500305003 727716368 909645460 1000610006 1137056825 1819290920 2001220012 2274113650 2501525015 3638581840 4002440024 4548227300 5003050030 8004880048 9096454600 10006100060 12507625075 18192909200 20012200120 25015250150 40024400240 50030500300 100061000600 200122001200