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122212022221120 = 26513217203131363
BaseRepresentation
bin11011110010011010110100…
…001010111111100101000000
3121000201100120221211200101211
4123302122310022333211000
5112004310210142033440
61111531232233535504
734512345560632456
oct3362326412774500
9530640527750354
10122212022221120
1135a38911534927
1211859612b74594
13532670c925100
1422271445649d6
15e1e036266eea
hex6f26b42bf940

122212022221120 has 168 divisors, whose sum is σ = 315146043454176. Its totient is φ = 45121472428032.

The previous prime is 122212022221099. The next prime is 122212022221141. The reversal of 122212022221120 is 21122220212221.

It is an interprime number because it is at equal distance from previous prime (122212022221099) and next prime (122212022221141).

It is a junction number, because it is equal to n+sod(n) for n = 122212022221091 and 122212022221100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930272559 + ... + 930403921.

Almost surely, 2122212022221120 is an apocalyptic number.

122212022221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122212022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157573021727088).

122212022221120 is an abundant number, since it is smaller than the sum of its proper divisors (192934021233056).

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

122212022221120 is a wasteful number, since it uses less digits than its factorization.

122212022221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148609 (or 148586 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122212022221120 its reverse (21122220212221), we get a palindrome (143334242433341).

The spelling of 122212022221120 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".