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122113488000 = 27353737417
BaseRepresentation
bin111000110111010000…
…1111111010010000000
3102200012022001220222210
41301232201333102000
54000042023104000
6132033111502120
711552041344000
oct1615641772200
9380168056883
10122113488000
1147873975a19
121b7bb687940
13b69101859a
145ca5d04000
15329a7d4350
hex1c6e87f480

122113488000 has 512 divisors, whose sum is σ = 472140864000. Its totient is φ = 27907891200.

The previous prime is 122113487917. The next prime is 122113488019. The reversal of 122113488000 is 884311221.

It is a super-2 number, since 2×1221134880002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16460292 + ... + 16467708.

It is an arithmetic number, because the mean of its divisors is an integer number (922150125).

Almost surely, 2122113488000 is an apocalyptic number.

122113488000 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 122113488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236070432000).

122113488000 is an abundant number, since it is smaller than the sum of its proper divisors (350027376000).

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

122113488000 is an frugal number, since it uses more digits than its factorization.

122113488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 122113488000 its reverse (884311221), we get a palindrome (122997799221).

The spelling of 122113488000 in words is "one hundred twenty-two billion, one hundred thirteen million, four hundred eighty-eight thousand".