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121101222000 = 243531137101491
BaseRepresentation
bin111000011001000110…
…0100000000001110000
3102120120202022111002110
41300302030200001300
53441003403101000
6131344431245320
711515000255113
oct1606214400160
9376522274073
10121101222000
11473a4534550
121b578679840
13b55c3a5315
145c0b6c257a
15323b9cd850
hex1c32320070

121101222000 has 640 divisors, whose sum is σ = 442666238976. Its totient is φ = 28224000000.

The previous prime is 121101221999. The next prime is 121101222017. The reversal of 121101222000 is 222101121.

121101222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246641755 + ... + 246642245.

Almost surely, 2121101222000 is an apocalyptic number.

121101222000 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 121101222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221333119488).

121101222000 is an abundant number, since it is smaller than the sum of its proper divisors (321565016976).

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

121101222000 is a wasteful number, since it uses less digits than its factorization.

121101222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121101222000 its reverse (222101121), we get a palindrome (121323323121).

The spelling of 121101222000 in words is "one hundred twenty-one billion, one hundred one million, two hundred twenty-two thousand".