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1222212012000 = 253537195314449
BaseRepresentation
bin10001110010010001100…
…000110100011111100000
311022211202001112020020120
4101302101200310133200
5130011042233341000
62333250525040240
7154205360455350
oct21622140643740
94284661466216
101222212012000
114313788aa501
12178a583b6080
138b33c33b585
14432264d6b60
1521bd4c476a0
hex11c918347e0

1222212012000 has 768 divisors, whose sum is σ = 4908024576000. Its totient is φ = 259647897600.

The previous prime is 1222212011987. The next prime is 1222212012037. The reversal of 1222212012000 is 2102122221.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84580776 + ... + 84595224.

It is an arithmetic number, because the mean of its divisors is an integer number (6390657000).

Almost surely, 21222212012000 is an apocalyptic number.

1222212012000 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 1222212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454012288000).

1222212012000 is an abundant number, since it is smaller than the sum of its proper divisors (3685812564000).

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

1222212012000 is a wasteful number, since it uses less digits than its factorization.

1222212012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14556 (or 14538 counting only the distinct ones).

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

Adding to 1222212012000 its reverse (2102122221), we get a palindrome (1224314134221).

The spelling of 1222212012000 in words is "one trillion, two hundred twenty-two billion, two hundred twelve million, twelve thousand".