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122200102112022 = 2321123131257797029
BaseRepresentation
bin11011110010001111101101…
…101011011000101100010110
3121000200012211020001101202200
4123302033231223120230112
5112004111302120041042
61111521541340345330
734511444306446014
oct3362175553305426
9530605736041680
10122200102112022
1135a3385498a4a0
1211857246b45246
1353255601b310c
1422267333c18b4
15e1da89a27c4c
hex6f23edad8b16

122200102112022 has 192 divisors, whose sum is σ = 304877518133760. Its totient is φ = 35013121228800.

The previous prime is 122200102111987. The next prime is 122200102112027. The reversal of 122200102112022 is 220211201002221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122200102111986 and 122200102112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200102112027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152921004 + ... + 153718032.

It is an arithmetic number, because the mean of its divisors is an integer number (1587903740280).

Almost surely, 2122200102112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122200102112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152438759066880).

122200102112022 is an abundant number, since it is smaller than the sum of its proper divisors (182677416021738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122200102112022 is a wasteful number, since it uses less digits than its factorization.

122200102112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797459 (or 797456 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122200102112022 its reverse (220211201002221), we get a palindrome (342411303114243).

The spelling of 122200102112022 in words is "one hundred twenty-two trillion, two hundred billion, one hundred two million, one hundred twelve thousand, twenty-two".