Search a number
-
+
122211230130000 = 24325411177261511
BaseRepresentation
bin11011110010011010000100…
…111101011001111101010000
3121000201021112202101021122200
4123302122010331121331100
5112004302044403130000
61111531021500403200
734512320132156064
oct3362320475317520
9530637482337580
10122211230130000
1135a38545406070
1211859431846500
1353266147b103b
1422270ab297aa4
15e1dedb953500
hex6f2684f59f50

122211230130000 has 600 divisors, whose sum is σ = 493670175425856. Its totient is φ = 27884198400000.

The previous prime is 122211230129971. The next prime is 122211230130043. The reversal of 122211230130000 is 31032112221.

122211230130000 is a `hidden beast` number, since 1 + 222 + 112 + 30 + 1 + 300 + 0 + 0 = 666.

122211230130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13199245 + ... + 20460755.

Almost surely, 2122211230130000 is an apocalyptic number.

122211230130000 is a gapful number since it is divisible by the number (10) 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 122211230130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246835087712928).

122211230130000 is an abundant number, since it is smaller than the sum of its proper divisors (371458945295856).

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

122211230130000 is a wasteful number, since it uses less digits than its factorization.

122211230130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261573 (or 7261549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122211230130000 its reverse (31032112221), we get a palindrome (122242262242221).

The spelling of 122211230130000 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred thirty million, one hundred thirty thousand".