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122121020001221 = 671848599859957
BaseRepresentation
bin11011110001000110000100…
…000001000100101111000101
3121000101122200212002221000222
4123301012010001010233011
5112001312322110014341
61111421342212314125
734502644501551143
oct3361060401045705
9530348625087028
10122121020001221
1135a0326311412a
1211843a56612945
13531ac69299407
1422229904dc593
15e1b9abe1b44b
hex6f1184044bc5

122121020001221 has 8 divisors (see below), whose sum is σ = 123944404839840. Its totient is φ = 120297655252368.

The previous prime is 122121020001209. The next prime is 122121020001311. The reversal of 122121020001221 is 122100020121221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122121020001221 - 222 = 122121015806917 is a prime.

It is a super-2 number, since 2×1221210200012212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121020001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121020061221) 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 7 ways as a sum of consecutive naturals, for example, 7455575 + ... + 17315531.

It is an arithmetic number, because the mean of its divisors is an integer number (15493050604980).

Almost surely, 2122121020001221 is an apocalyptic number.

It is an amenable number.

122121020001221 is a deficient number, since it is larger than the sum of its proper divisors (1823384838619).

122121020001221 is an equidigital number, since it uses as much as digits as its factorization.

122121020001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044883.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122121020001221 its reverse (122100020121221), we get a palindrome (244221040122442).

The spelling of 122121020001221 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty million, one thousand, two hundred twenty-one".

Divisors: 1 67 184859 9859957 12385553 660617119 1822701791063 122121020001221