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12210120212004 = 2232111317563247813
BaseRepresentation
bin1011000110101110001111…
…1000001011111000100100
31121020021110021022211021200
42301223203320023320210
53100022311233241004
641545130215242500
72400103106234541
oct261534370137044
947207407284250
1012210120212004
1139883125a7080
1214524a0679430
136a7542598790
14302d89b95bc8
1516292ea9b239
hexb1ae3e0be24

12210120212004 has 288 divisors, whose sum is σ = 38461668545664. Its totient is φ = 3208788725760.

The previous prime is 12210120211969. The next prime is 12210120212039. The reversal of 12210120212004 is 40021202101221.

12210120212004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12210120211969) and next prime (12210120212039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49147602 + ... + 49395414.

It is an arithmetic number, because the mean of its divisors is an integer number (133547460228).

Almost surely, 212210120212004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210120212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230834272832).

12210120212004 is an abundant number, since it is smaller than the sum of its proper divisors (26251548333660).

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

12210120212004 is a wasteful number, since it uses less digits than its factorization.

12210120212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248427 (or 248422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12210120212004 its reverse (40021202101221), we get a palindrome (52231322313225).

The spelling of 12210120212004 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, two hundred twelve thousand, four".