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122231133553320 = 2332511434331657793
BaseRepresentation
bin11011110010101100100111…
…010010111100001010101000
3121000210011220212011221121100
4123302230213102330022220
5112010113330142201240
61111544112500041400
734513623302366241
oct3362544722741250
9530704825157540
10122231133553320
1135a45a29371650
1211861267393260
1353284671733bc
1422280387ddcc8
15e1e7a3e93e30
hex6f2b274bc2a8

122231133553320 has 384 divisors, whose sum is σ = 444467568504960. Its totient is φ = 28875818926080.

The previous prime is 122231133553307. The next prime is 122231133553393. The reversal of 122231133553320 is 23355331132221.

122231133553320 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 113 + 3 + 5 + 533 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72902344 + ... + 74560136.

It is an arithmetic number, because the mean of its divisors is an integer number (1157467626315).

Almost surely, 2122231133553320 is an apocalyptic number.

122231133553320 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 122231133553320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222233784252480).

122231133553320 is an abundant number, since it is smaller than the sum of its proper divisors (322236434951640).

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

122231133553320 is a wasteful number, since it uses less digits than its factorization.

122231133553320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658297 (or 1658290 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 122231133553320 its reverse (23355331132221), we get a palindrome (145586464685541).

The spelling of 122231133553320 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, one hundred thirty-three million, five hundred fifty-three thousand, three hundred twenty".