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12001012012111 = 372512121160923
BaseRepresentation
bin1010111010100011010000…
…0011101101010001001111
31120111021201011100122102111
42232220310003231101033
53033111033033341421
641305104441004451
72346021156663103
oct256506403552117
946437634318374
1012001012012111
113907667462551
121419a62783727
136908c9274415
142d6bd0175903
1515c291bc5ee1
hexaea340ed44f

12001012012111 has 16 divisors (see below), whose sum is σ = 12375255247488. Its totient is φ = 11629400580000.

The previous prime is 12001012012063. The next prime is 12001012012127. The reversal of 12001012012111 is 11121021010021.

It is a happy number.

12001012012111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001012012111 - 213 = 12001012003919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001012012091 and 12001012012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001012012811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196956096 + ... + 197017018.

It is an arithmetic number, because the mean of its divisors is an integer number (773453452968).

Almost surely, 212001012012111 is an apocalyptic number.

12001012012111 is a deficient number, since it is larger than the sum of its proper divisors (374243235377).

12001012012111 is a wasteful number, since it uses less digits than its factorization.

12001012012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82422.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12001012012111 its reverse (11121021010021), we get a palindrome (23122033022132).

The spelling of 12001012012111 in words is "twelve trillion, one billion, twelve million, twelve thousand, one hundred eleven".

Divisors: 1 37 251 9287 21211 60923 784807 2254151 5323961 15291673 196986557 565791901 1292237753 47812796861 324351676003 12001012012111