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122113110000 = 243547581491
BaseRepresentation
bin111000110111010000…
…0100010111111110000
3102200012021100201110210
41301232200202333300
54000041424010000
6132033055424120
711552035210650
oct1615640427760
9380167321423
10122113110000
1147873737a22
121b7bb525040
13b690c1550b
145ca5c46360
15329a75c350
hex1c6e822ff0

122113110000 has 200 divisors, whose sum is σ = 450512089984. Its totient is φ = 27911520000.

The previous prime is 122113109999. The next prime is 122113110001. The reversal of 122113110000 is 11311221.

It is an interprime number because it is at equal distance from previous prime (122113109999) and next prime (122113110001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1221131100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80746 + ... + 500745.

Almost surely, 2122113110000 is an apocalyptic number.

122113110000 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 122113110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225256044992).

122113110000 is an abundant number, since it is smaller than the sum of its proper divisors (328398979984).

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

122113110000 is an equidigital number, since it uses as much as digits as its factorization.

122113110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581529 (or 581508 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 122113110000 its reverse (11311221), we get a palindrome (122124421221).

The spelling of 122113110000 in words is "one hundred twenty-two billion, one hundred thirteen million, one hundred ten thousand".