Search a number
-
+
122002121112 = 23314369353777
BaseRepresentation
bin111000110011111100…
…1001010000110011000
3102122220112111220100020
41301213321022012120
53444330020333422
6132014052510440
711546216630124
oct1614771120630
9378815456306
10122002121112
1147817020373
121b78a31b420
13b673c25011
145c951d4584
153290b3695c
hex1c67e4a198

122002121112 has 32 divisors (see below), whose sum is σ = 305027391600. Its totient is φ = 40664428544.

The previous prime is 122002121029. The next prime is 122002121119. The reversal of 122002121112 is 211121200221.

It is a super-2 number, since 2×1220021211122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122002121091 and 122002121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002121119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167968 + ... + 521744.

Almost surely, 2122002121112 is an apocalyptic number.

122002121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122002121112 is an abundant number, since it is smaller than the sum of its proper divisors (183025270488).

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

122002121112 is a wasteful number, since it uses less digits than its factorization.

122002121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368155 (or 368151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122002121112 its reverse (211121200221), we get a palindrome (333123321333).

It can be divided in two parts, 12200 and 2121112, that added together give a palindrome (2133312).

The spelling of 122002121112 in words is "one hundred twenty-two billion, two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 14369 28738 43107 57476 86214 114952 172428 344856 353777 707554 1061331 1415108 2122662 2830216 4245324 8490648 5083421713 10166843426 15250265139 20333686852 30500530278 40667373704 61001060556 122002121112