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1212404042121 = 319331157940697
BaseRepresentation
bin10001101001001000111…
…010011000100110001001
311021220102112002201220220
4101221020322120212021
5124331000413321441
62324545402140253
7153410334215106
oct21511072304611
94256375081826
101212404042121
114281a5524578
12176b7b7b1689
138a4383778bc
1442975a7daad
152180db6c466
hex11a48e98989

1212404042121 has 32 divisors (see below), whose sum is σ = 1707883430400. Its totient is φ = 762913261440.

The previous prime is 1212404042107. The next prime is 1212404042147.

It is a happy number.

1212404042121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1212404042121 - 25 = 1212404042089 is a prime.

It is a super-2 number, since 2×12124040421212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1212404042091 and 1212404042100.

It is not an unprimeable number, because it can be changed into a prime (1212404046121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29770645 + ... + 29811341.

It is an arithmetic number, because the mean of its divisors is an integer number (53371357200).

Almost surely, 21212404042121 is an apocalyptic number.

It is an amenable number.

1212404042121 is a deficient number, since it is larger than the sum of its proper divisors (495479388279).

1212404042121 is a wasteful number, since it uses less digits than its factorization.

1212404042121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42629.

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 1212404042121 in words is "one trillion, two hundred twelve billion, four hundred four million, forty-two thousand, one hundred twenty-one".

Divisors: 1 3 19 57 331 993 1579 4737 6289 18867 30001 40697 90003 122091 522649 773243 1567947 2319729 9930331 13470707 29790993 40412121 64260563 192781689 255943433 767830299 1220950697 3662852091 21270246353 63810739059 404134680707 1212404042121