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122040000223011 = 32132935968169827
BaseRepresentation
bin11011101111111010100110…
…110111001001011100100011
3121000002220120110002202022200
4123233322212313021130203
5111444000410024114021
61111320222505304243
734464045655032213
oct3357724667113443
9530086513082280
10122040000223011
1135981967605642
1211830205195083
135313426ac0c50
14221caa6148243
15e19819161126
hex6efea6dc9723

122040000223011 has 24 divisors (see below), whose sum is σ = 196386207260880. Its totient is φ = 72511830369216.

The previous prime is 122040000223007. The next prime is 122040000223067. The reversal of 122040000223011 is 110322000040221.

It is a happy number.

122040000223011 is a `hidden beast` number, since 1 + 2 + 20 + 400 + 0 + 0 + 2 + 230 + 11 = 666.

It is not a de Polignac number, because 122040000223011 - 22 = 122040000223007 is a prime.

It is a super-2 number, since 2×1220400002230112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122040000223111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17984081521 + ... + 17984088306.

It is an arithmetic number, because the mean of its divisors is an integer number (8182758635870).

Almost surely, 2122040000223011 is an apocalyptic number.

122040000223011 is a deficient number, since it is larger than the sum of its proper divisors (74346207037869).

122040000223011 is a wasteful number, since it uses less digits than its factorization.

122040000223011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35968169875 (or 35968169872 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122040000223011 its reverse (110322000040221), we get a palindrome (232362000263232).

The spelling of 122040000223011 in words is "one hundred twenty-two trillion, forty billion, two hundred twenty-three thousand, eleven".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 35968169827 107904509481 323713528443 467586207751 1043076924983 1402758623253 3129230774949 4208275869759 9387692324847 13560000024779 40680000074337 122040000223011