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20120223120 = 2435401209063
BaseRepresentation
bin10010101111010000…
…100011110110010000
31220221012202020100220
4102233100203312100
5312201234114440
613124302113040
71311412034424
oct225720436620
956835666326
1020120223120
118595383478
123a9627b780
131b8857c28a
14d8c25cb84
157cb5b78d0
hex4af423d90

20120223120 has 80 divisors (see below), whose sum is σ = 62528533632. Its totient is φ = 5351987200.

The previous prime is 20120223089. The next prime is 20120223121. The reversal of 20120223120 is 2132202102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 20120223120.

It is not an unprimeable number, because it can be changed into a prime (20120223121) 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, 8292 + ... + 200771.

Almost surely, 220120223120 is an apocalyptic number.

20120223120 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 20120223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31264266816).

20120223120 is an abundant number, since it is smaller than the sum of its proper divisors (42408310512).

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

20120223120 is a wasteful number, since it uses less digits than its factorization.

20120223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209480 (or 209474 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20120223120 its reverse (2132202102), we get a palindrome (22252425222).

The spelling of 20120223120 in words is "twenty billion, one hundred twenty million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 16040 19248 24060 32080 48120 96240 209063 418126 627189 836252 1045315 1254378 1672504 2090630 2508756 3135945 3345008 4181260 5017512 6271890 8362520 10035024 12543780 16725040 25087560 50175120 83834263 167668526 251502789 335337052 419171315 503005578 670674104 838342630 1006011156 1257513945 1341348208 1676685260 2012022312 2515027890 3353370520 4024044624 5030055780 6706741040 10060111560 20120223120