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20121200120 = 2357469115319
BaseRepresentation
bin10010101111010100…
…010010010111111000
31220221021120212120002
4102233110102113320
5312202011400440
613124335052132
71311423244010
oct225724222770
956837525502
1020121200120
11859599050a
123a96671048
131b88831b98
14d8c434c40
157cb70c115
hex4af5125f8

20121200120 has 64 divisors (see below), whose sum is σ = 51754636800. Its totient is φ = 6896776320.

The previous prime is 20121200111. The next prime is 20121200129. The reversal of 20121200120 is 2100212102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20121200111) and next prime (20121200129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121200129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305821 + ... + 1321139.

It is an arithmetic number, because the mean of its divisors is an integer number (808666200).

Almost surely, 220121200120 is an apocalyptic number.

20121200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121200120 is an abundant number, since it is smaller than the sum of its proper divisors (31633436680).

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

20121200120 is a wasteful number, since it uses less digits than its factorization.

20121200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20028 (or 20024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121200120 its reverse (2100212102), we get a palindrome (22221412222).

The spelling of 20121200120 in words is "twenty billion, one hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4691 9382 15319 18764 23455 30638 32837 37528 46910 61276 65674 76595 93820 107233 122552 131348 153190 164185 187640 214466 262696 306380 328370 428932 536165 612760 656740 857864 1072330 1313480 2144660 4289320 71861429 143722858 287445716 359307145 503030003 574891432 718614290 1006060006 1437228580 2012120012 2515150015 2874457160 4024240024 5030300030 10060600060 20121200120