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1201222211200 = 275211131337773
BaseRepresentation
bin10001011110101110011…
…011000101011010000000
311020211120020111212112221
4101132232123011122000
5124140100341224300
62315500040500424
7152533256220004
oct21365633053200
94224506455487
101201222211200
114234876934a0
1217497aa7a714
1389375887bbb
14421d499a704
15213a716231a
hex117ae6c5680

1201222211200 has 384 divisors, whose sum is σ = 3275779890240. Its totient is φ = 431628288000.

The previous prime is 1201222211171. The next prime is 1201222211209. The reversal of 1201222211200 is 21122221021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1201222211209) 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 47 ways as a sum of consecutive naturals, for example, 1553974014 + ... + 1553974786.

Almost surely, 21201222211200 is an apocalyptic number.

1201222211200 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 1201222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637889945120).

1201222211200 is an abundant number, since it is smaller than the sum of its proper divisors (2074557679040).

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

1201222211200 is a wasteful number, since it uses less digits than its factorization.

1201222211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1201222211200 its reverse (21122221021), we get a palindrome (1222344432221).

The spelling of 1201222211200 in words is "one trillion, two hundred one billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".