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2120200012 = 227271251607
BaseRepresentation
bin111111001011111…
…1010111101001100
312110202112022122101
41332113322331030
513320232400022
6550215124444
7103353255100
oct17627727514
95422468571
102120200012
11998885717
124b2073724
1327a341328
14161827900
15c6207627
hex7e5faf4c

2120200012 has 72 divisors (see below), whose sum is σ = 4401589248. Its totient is φ = 890820000.

The previous prime is 2120199989. The next prime is 2120200013. The reversal of 2120200012 is 2100020212.

It is not an unprimeable number, because it can be changed into a prime (2120200013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3492613 + ... + 3493219.

It is an arithmetic number, because the mean of its divisors is an integer number (61133184).

Almost surely, 22120200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200794624).

2120200012 is an abundant number, since it is smaller than the sum of its proper divisors (2281389236).

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

2120200012 is a wasteful number, since it uses less digits than its factorization.

2120200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 938 counting only the distinct ones).

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

The square root of 2120200012 is about 46045.6296731840. The cubic root of 2120200012 is about 1284.6720560878.

Adding to 2120200012 its reverse (2100020212), we get a palindrome (4220220224).

The spelling of 2120200012 in words is "two billion, one hundred twenty million, two hundred thousand, twelve".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 251 284 497 502 607 994 1004 1214 1757 1988 2428 3479 3514 4249 6958 7028 8498 12299 13916 16996 17821 24598 29743 35642 43097 49196 59486 71284 86194 118972 124747 152357 172388 249494 301679 304714 498988 603358 609428 873229 1066499 1206716 1746458 2111753 2132998 3492916 4223506 4265996 7465493 8447012 10817347 14930986 21634694 29861972 43269388 75721429 151442858 302885716 530050003 1060100006 2120200012