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122021200000000 = 21058743579
BaseRepresentation
bin11011101111101001000110…
…010001111111010000000000
3121000001010001020011110200201
4123233221012101333100000
5111443143404200000000
61111303433155254544
734462512041544340
oct3357510621772000
9530033036143621
10122021200000000
113597499a34a854
1211828638baa454
13531171bb60132
14221bc01334d20
15e190b88d996a
hex6efa4647f400

122021200000000 has 396 divisors, whose sum is σ = 348469587208480. Its totient is φ = 41834880000000.

The previous prime is 122021199999967. The next prime is 122021200000001. The reversal of 122021200000000 is 2120221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021200000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2799978211 + ... + 2800021789.

Almost surely, 2122021200000000 is an apocalyptic number.

122021200000000 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 122021200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174234793604240).

122021200000000 is an abundant number, since it is smaller than the sum of its proper divisors (226448387208480).

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

122021200000000 is an frugal number, since it uses more digits than its factorization.

122021200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43646 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122021200000000 its reverse (2120221), we get a palindrome (122021202120221).

The spelling of 122021200000000 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred million", and thus it is an aban number.