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122120310120000 = 263543066133191
BaseRepresentation
bin11011110001000101011001…
…101101000101111001000000
3121000101120212101100020001220
4123301011121231011321000
5112001304343342320000
61111421143533155040
734502621061633453
oct3361053155057100
9530346771306056
10122120310120000
1135a02a29435935
121184389892ba80
13531ab851aa55a
14222292411149a
15e1b9699461a0
hex6f1159b45e40

122120310120000 has 280 divisors, whose sum is σ = 403783573545792. Its totient is φ = 32563372800000.

The previous prime is 122120310119981. The next prime is 122120310120019. The reversal of 122120310120000 is 21013021221.

It is an interprime number because it is at equal distance from previous prime (122120310119981) and next prime (122120310120019).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3679303405 + ... + 3679336595.

Almost surely, 2122120310120000 is an apocalyptic number.

122120310120000 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 122120310120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201891786772896).

122120310120000 is an abundant number, since it is smaller than the sum of its proper divisors (281663263425792).

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

122120310120000 is an equidigital number, since it uses as much as digits as its factorization.

122120310120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63887 (or 63862 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122120310120000 its reverse (21013021221), we get a palindrome (122141323141221).

The spelling of 122120310120000 in words is "one hundred twenty-two trillion, one hundred twenty billion, three hundred ten million, one hundred twenty thousand".