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121222110121020 = 2233517412276592153
BaseRepresentation
bin11011100100000000111000…
…110100000000110000111100
3120220012201110021120200001000
4123210000320310000300330
5111342100340142333040
61105452400230050300
734351002615623346
oct3344007064006074
9526181407520030
10121222110121020
113569700aa00497
12117197a74a9990
135284271611b0c
1421d1277c02296
15e033ea473130
hex6e4038d00c3c

121222110121020 has 768 divisors, whose sum is σ = 411676009113600. Its totient is φ = 29493007810560.

The previous prime is 121222110120949. The next prime is 121222110121031. The reversal of 121222110121020 is 20121011222121.

121222110121020 is a `hidden beast` number, since 1 + 212 + 221 + 1 + 0 + 1 + 210 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121222110120984 and 121222110121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56303812264 + ... + 56303814416.

It is an arithmetic number, because the mean of its divisors is an integer number (536036470200).

Almost surely, 2121222110121020 is an apocalyptic number.

121222110121020 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 121222110121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205838004556800).

121222110121020 is an abundant number, since it is smaller than the sum of its proper divisors (290453898992580).

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

121222110121020 is a wasteful number, since it uses less digits than its factorization.

121222110121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121222110121020 its reverse (20121011222121), we get a palindrome (141343121343141).

The spelling of 121222110121020 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, twenty".