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11211000120 = 2332567464801
BaseRepresentation
bin10100111000011101…
…00100100100111000
31001221022110210222200
422130032210210320
5140430004000440
65052242350200
7544550633355
oct123416444470
931838423880
1011211000120
114833354361
12220a65b360
1310988637a8
14784d1762c
1545936cc30
hex29c3a4938

11211000120 has 96 divisors (see below), whose sum is σ = 36979647120. Its totient is φ = 2944972800.

The previous prime is 11211000113. The next prime is 11211000131. The reversal of 11211000120 is 2100011211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 208281 + ... + 256520.

Almost surely, 211211000120 is an apocalyptic number.

11211000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211000120 is an abundant number, since it is smaller than the sum of its proper divisors (25768647000).

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

11211000120 is a wasteful number, since it uses less digits than its factorization.

11211000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464885 (or 464878 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11211000120 its reverse (2100011211), we get a palindrome (13311011331).

The spelling of 11211000120 in words is "eleven billion, two hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 464801 929602 1394403 1859204 2324005 2788806 3718408 4183209 4648010 5577612 6972015 8366418 9296020 11155224 13944030 16732836 18592040 20916045 27888060 31141667 33465672 41832090 55776120 62283334 83664180 93425001 124566668 155708335 167328360 186850002 249133336 280275003 311416670 373700004 467125005 560550006 622833340 747400008 934250010 1121100012 1245666680 1401375015 1868500020 2242200024 2802750030 3737000040 5605500060 11211000120