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122040000222993 = 33172232152955381
BaseRepresentation
bin11011101111111010100110…
…110111001001011100010001
3121000002220120110002202022000
4123233322212313021130101
5111444000410024113433
61111320222505304213
734464045655032156
oct3357724667113421
9530086513082260
10122040000222993
1135981967605626
1211830205195069
135313426ac0c38
14221caa614822d
15e19819161113
hex6efea6dc9711

122040000222993 has 64 divisors (see below), whose sum is σ = 192306152908800. Its totient is φ = 76225818839040.

The previous prime is 122040000222961. The next prime is 122040000223007. The reversal of 122040000222993 is 399222000040221.

It is a happy number.

122040000222993 is a `hidden beast` number, since 1 + 2 + 20 + 400 + 0 + 0 + 2 + 229 + 9 + 3 = 666.

It is not a de Polignac number, because 122040000222993 - 25 = 122040000222961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122040000222593) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2203616163 + ... + 2203671543.

It is an arithmetic number, because the mean of its divisors is an integer number (3004783639200).

Almost surely, 2122040000222993 is an apocalyptic number.

It is an amenable number.

122040000222993 is a deficient number, since it is larger than the sum of its proper divisors (70266152685807).

122040000222993 is a wasteful number, since it uses less digits than its factorization.

122040000222993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77159 (or 77153 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 122040000222993 in words is "one hundred twenty-two trillion, forty billion, two hundred twenty-two thousand, nine hundred ninety-three".

Divisors: 1 3 9 17 27 51 153 223 459 669 2007 3791 6021 11373 21529 34119 55381 64587 102357 166143 193761 365993 498429 581283 941477 1097979 1495287 2824431 3293937 4800967 8473293 9881811 12349963 14402901 25419879 37049889 43208703 81616439 111149667 129626109 209949371 244849317 333449001 629848113 734547951 1192297549 1889544339 2203643853 3576892647 5668633017 10730677941 20269058333 32192033823 60807174999 182421524997 265882353427 547264574991 797647060281 2392941180843 4520000008259 7178823542529 13560000024777 40680000074331 122040000222993