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12122021010000 = 2435411101367991
BaseRepresentation
bin1011000001100110000011…
…0000011001101001010000
31120220212001111010122211010
42300121200300121221100
53042101344334310000
641440440215450520
72360533660333236
oct260314060315120
946825044118733
1012122021010000
113953a13926720
1214393b4386a40
1369c1424c9355
142dc9cd4cc956
151604c5538d50
hexb0660c19a50

12122021010000 has 800 divisors, whose sum is σ = 43272663515136. Its totient is φ = 2898720000000.

The previous prime is 12122021009993. The next prime is 12122021010013. The reversal of 12122021010000 is 1012022121.

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 159 ways as a sum of consecutive naturals, for example, 12232109505 + ... + 12232110495.

Almost surely, 212122021010000 is an apocalyptic number.

12122021010000 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 12122021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636331757568).

12122021010000 is an abundant number, since it is smaller than the sum of its proper divisors (31150642505136).

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

12122021010000 is a wasteful number, since it uses less digits than its factorization.

12122021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1480 counting only the distinct ones).

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

Adding to 12122021010000 its reverse (1012022121), we get a palindrome (12123033032121).

The spelling of 12122021010000 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, ten thousand".