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122402101204221 = 3101577700116691
BaseRepresentation
bin11011110101001011110101…
…110000110001010011111101
3121001101112012212222111012220
4123311023311300301103331
5112020414000402013341
61112154425442115553
734532155113424116
oct3365136560612375
9531345185874186
10122402101204221
1136001492128203
121188a42004bbb9
13533b61271c387
142232416ba320d
15e23e5d730a66
hex6f52f5c314fd

122402101204221 has 16 divisors (see below), whose sum is σ = 165104318774208. Its totient is φ = 80653442688000.

The previous prime is 122402101204193. The next prime is 122402101204237.

122402101204221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122402101204221 - 215 = 122402101171453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122402101204191 and 122402101204200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122402101204021) 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, 349883515 + ... + 350233176.

It is an arithmetic number, because the mean of its divisors is an integer number (10319019923388).

Almost surely, 2122402101204221 is an apocalyptic number.

It is an amenable number.

122402101204221 is a deficient number, since it is larger than the sum of its proper divisors (42702217569987).

122402101204221 is a wasteful number, since it uses less digits than its factorization.

122402101204221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700117372.

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

It can be divided in two parts, 12240210 and 1204221, that added together give a palindrome (13444431).

The spelling of 122402101204221 in words is "one hundred twenty-two trillion, four hundred two billion, one hundred one million, two hundred four thousand, two hundred twenty-one".

Divisors: 1 3 101 303 577 1731 58277 174831 700116691 2100350073 70711785791 212135357373 403967330707 1211901992121 40800700401407 122402101204221