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11122020001200 = 2435213736750437
BaseRepresentation
bin1010000111011000110000…
…0011010010010110110000
31110101020212200210222112010
42201312030003102112300
52424210344110014300
635353215131402520
72225353011113133
oct241661403222660
943336780728463
1011122020001200
1135a8905381909
1212b7631bb3440
13628a56c695b4
142a6446ca221a
15144498b73a50
hexa1d8c0d25b0

11122020001200 has 120 divisors (see below), whose sum is σ = 35653491365328. Its totient is φ = 2963711421440.

The previous prime is 11122020001177. The next prime is 11122020001223. The reversal of 11122020001200 is 210002022111.

It is an interprime number because it is at equal distance from previous prime (11122020001177) and next prime (11122020001223).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-5 number, since 5×111220200012005 (a number of 66 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1727619 + ... + 5022818.

Almost surely, 211122020001200 is an apocalyptic number.

11122020001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122020001200 is an abundant number, since it is smaller than the sum of its proper divisors (24531471364128).

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

11122020001200 is a wasteful number, since it uses less digits than its factorization.

11122020001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751831 (or 6751820 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11122020001200 its reverse (210002022111), we get a palindrome (11332022023311).

The spelling of 11122020001200 in words is "eleven trillion, one hundred twenty-two billion, twenty million, one thousand, two 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 1373 2746 4119 5492 6865 8238 10984 13730 16476 20595 21968 27460 32952 34325 41190 54920 65904 68650 82380 102975 109840 137300 164760 205950 274600 329520 411900 549200 823800 1647600 6750437 13500874 20251311 27001748 33752185 40502622 54003496 67504370 81005244 101256555 108006992 135008740 162010488 168760925 202513110 270017480 324020976 337521850 405026220 506282775 540034960 675043700 810052440 1012565550 1350087400 1620104880 2025131100 2700174800 4050262200 8100524400 9268350001 18536700002 27805050003 37073400004 46341750005 55610100006 74146800008 92683500010 111220200012 139025250015 148293600016 185367000020 222440400024 231708750025 278050500030 370734000040 444880800048 463417500050 556101000060 695126250075 741468000080 926835000100 1112202000120 1390252500150 1853670000200 2224404000240 2780505000300 3707340000400 5561010000600 11122020001200