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12021000112000 = 275311317215461
BaseRepresentation
bin1010111011101101101101…
…1100010000011110000000
31120120012022011111022210101
42232323123130100132000
53033423002012041000
641322212103212144
72350326406014565
oct256733334203600
946505264438711
1012021000112000
1139150941a3870
121421900747054
13692763343669
142d7b68a4086c
1515ca61890e6a
hexaeedb710780

12021000112000 has 256 divisors, whose sum is σ = 32707235021760. Its totient is φ = 4357463040000.

The previous prime is 12021000111997. The next prime is 12021000112001. The reversal of 12021000112000 is 21100012021.

12021000112000 is digitally balanced in base 2, 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021000112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55684270 + ... + 55899730.

Almost surely, 212021000112000 is an apocalyptic number.

12021000112000 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 12021000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353617510880).

12021000112000 is an abundant number, since it is smaller than the sum of its proper divisors (20686234909760).

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

12021000112000 is a wasteful number, since it uses less digits than its factorization.

12021000112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215818 (or 215796 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12021000112000 its reverse (21100012021), we get a palindrome (12042100124021).

The spelling of 12021000112000 in words is "twelve trillion, twenty-one billion, one hundred twelve thousand".