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122130222012300 = 223521921519298039
BaseRepresentation
bin11011110001001110101000…
…011111111101011110001100
3121000102112110011022112011010
4123301032220133331132030
5112001440143313343200
61111425503251325220
734503421516423605
oct3361165037753614
9530375404275133
10122130222012300
1135a07155441267
12118457a42b0810
13531baa4859198
1422231c469adac
15e1bd49bed150
hex6f13a87fd78c

122130222012300 has 432 divisors, whose sum is σ = 375861018355200. Its totient is φ = 30612819456000.

The previous prime is 122130222012283. The next prime is 122130222012311. The reversal of 122130222012300 is 3210222031221.

It is a super-2 number, since 2×1221302220123002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15192211681 + ... + 15192219719.

It is an arithmetic number, because the mean of its divisors is an integer number (870048653600).

Almost surely, 2122130222012300 is an apocalyptic number.

122130222012300 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 122130222012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187930509177600).

122130222012300 is an abundant number, since it is smaller than the sum of its proper divisors (253730796342900).

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

122130222012300 is a wasteful number, since it uses less digits than its factorization.

122130222012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122130222012300 its reverse (3210222031221), we get a palindrome (125340444043521).

The spelling of 122130222012300 in words is "one hundred twenty-two trillion, one hundred thirty billion, two hundred twenty-two million, twelve thousand, three hundred".