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1221332011020 = 223251197103107577
BaseRepresentation
bin10001110001011101000…
…011111000100000001100
311022202110201122112211200
4101301131003320200030
5130002241443323040
62333023331345500
7154144513543002
oct21613503704014
94282421575750
101221332011020
11430a67097770
12178851752290
138b22bc27a34
14431816a4a72
1521b8286b630
hex11c5d0f880c

1221332011020 has 576 divisors, whose sum is σ = 4168548873216. Its totient is φ = 286972968960.

The previous prime is 1221332010979. The next prime is 1221332011037. The reversal of 1221332011020 is 201102331221.

1221332011020 is a `hidden beast` number, since 1 + 2 + 213 + 320 + 110 + 20 = 666.

It is a super-2 number, since 2×12213320110202 (a number of 25 digits) contains 22 as substring.

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 = 1221332010984 and 1221332011002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2116692972 + ... + 2116693548.

It is an arithmetic number, because the mean of its divisors is an integer number (7237064016).

Almost surely, 21221332011020 is an apocalyptic number.

1221332011020 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 1221332011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084274436608).

1221332011020 is an abundant number, since it is smaller than the sum of its proper divisors (2947216862196).

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

1221332011020 is a wasteful number, since it uses less digits than its factorization.

1221332011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221332011020 its reverse (201102331221), we get a palindrome (1422434342241).

The spelling of 1221332011020 in words is "one trillion, two hundred twenty-one billion, three hundred thirty-two million, eleven thousand, twenty".