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1221222001020 = 2235722360729753
BaseRepresentation
bin10001110001010110100…
…000001110100101111100
311022202012001122110111020
4101301112200032211330
5130002030313013040
62333004401424140
7154142006510100
oct21612640164574
94282161573436
101221222001020
11430a0aa8960a
1217882093b050
138b2121bac68
1443170c29900
1521b77d8acd0
hex11c5680e97c

1221222001020 has 288 divisors, whose sum is σ = 4157615443968. Its totient is φ = 266551262208.

The previous prime is 1221222000961. The next prime is 1221222001033. The reversal of 1221222001020 is 201002221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 41030464 + ... + 41060216.

It is an arithmetic number, because the mean of its divisors is an integer number (14436164736).

Almost surely, 21221222001020 is an apocalyptic number.

1221222001020 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 1221222001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078807721984).

1221222001020 is an abundant number, since it is smaller than the sum of its proper divisors (2936393442948).

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

1221222001020 is a wasteful number, since it uses less digits than its factorization.

1221222001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30409 (or 30400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1221222001020 its reverse (201002221221), we get a palindrome (1422224222241).

The spelling of 1221222001020 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-two million, one thousand, twenty".