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12010021011120 = 243511101115139133
BaseRepresentation
bin1010111011000100110100…
…0010010011111010110000
31120112010222000101012202110
42232301031002103322300
53033233010334323440
641313154423045320
72346460342134246
oct256611502237260
946463860335673
1012010021011120
11391046a83a880
12141b7578a0840
13691703855772
142d7406850796
1515c61ca7e080
hexaec4d093eb0

12010021011120 has 320 divisors, whose sum is σ = 41054528913408. Its totient is φ = 2880115200000.

The previous prime is 12010021011119. The next prime is 12010021011173. The reversal of 12010021011120 is 2111012001021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12010021011096 and 12010021011105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306883074 + ... + 306922206.

Almost surely, 212010021011120 is an apocalyptic number.

12010021011120 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 12010021011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527264456704).

12010021011120 is an abundant number, since it is smaller than the sum of its proper divisors (29044507902288).

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

12010021011120 is a wasteful number, since it uses less digits than its factorization.

12010021011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40412 (or 40406 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12010021011120 its reverse (2111012001021), we get a palindrome (14121033012141).

It can be divided in two parts, 1201002 and 1011120, that added together give a palindrome (2212122).

The spelling of 12010021011120 in words is "twelve trillion, ten billion, twenty-one million, eleven thousand, one hundred twenty".