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121222112110000 = 2454112394610959
BaseRepresentation
bin11011100100000000111000…
…111011100110010110110000
3120220012201110102022201101221
4123210000320323212112300
5111342100341200010000
61105452400340434424
734351002641546206
oct3344007073462660
9526181412281357
10121222112110000
1135697011039880
12117197a80a8a14
135284271b5a225
1421d127819d076
15e033ea71761a
hex6e4038ee65b0

121222112110000 has 200 divisors, whose sum is σ = 321511543372800. Its totient is φ = 43896320160000.

The previous prime is 121222112109979. The next prime is 121222112110013. The reversal of 121222112110000 is 11211222121.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23984521 + ... + 28595479.

It is an arithmetic number, because the mean of its divisors is an integer number (1607557716864).

Almost surely, 2121222112110000 is an apocalyptic number.

121222112110000 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 121222112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160755771686400).

121222112110000 is an abundant number, since it is smaller than the sum of its proper divisors (200289431262800).

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

121222112110000 is a wasteful number, since it uses less digits than its factorization.

121222112110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611237 (or 4611216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121222112110000 its reverse (11211222121), we get a palindrome (121233323332121).

The spelling of 121222112110000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred ten thousand".