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122100011023211 = 1319999757438243
BaseRepresentation
bin11011110000110010011111…
…110010001011101101101011
3121000022122110201000021011022
4123300302133302023231223
5112000441310310220321
61111403545401123055
734501302045311324
oct3360623762135553
9530278421007138
10122100011023211
11359a5362099a91
121183b97278948b
135318c9b85cc90
14222195a20d44b
15e1b17c7e8dab
hex6f0c9fc8bb6b

122100011023211 has 32 divisors (see below), whose sum is σ = 132324720998400. Its totient is φ = 111995757903744.

The previous prime is 122100011023169. The next prime is 122100011023229. The reversal of 122100011023211 is 112320110001221.

It is a happy number.

It is not a de Polignac number, because 122100011023211 - 242 = 117701964512107 is a prime.

It is a super-2 number, since 2×1221000110232112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122100011023211.

It is not an unprimeable number, because it can be changed into a prime (122100011022211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14812565456 + ... + 14812573698.

It is an arithmetic number, because the mean of its divisors is an integer number (4135147531200).

Almost surely, 2122100011023211 is an apocalyptic number.

122100011023211 is a deficient number, since it is larger than the sum of its proper divisors (10224709975189).

122100011023211 is a wasteful number, since it uses less digits than its factorization.

122100011023211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15195.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122100011023211 its reverse (112320110001221), we get a palindrome (234420121024432).

The spelling of 122100011023211 in words is "one hundred twenty-two trillion, one hundred billion, eleven million, twenty-three thousand, two hundred eleven".

Divisors: 1 13 199 997 2587 5743 8243 12961 74659 107159 198403 1142857 1640357 2579239 5725771 8218271 14857141 21324641 47339549 74435023 106837523 615414137 1139428429 1635435929 9420570251 14812569577 21260667077 47197530353 122467413263 613567894589 9392308540247 122100011023211