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122002112120000 = 265473557122497
BaseRepresentation
bin11011101111010111010100…
…100011100000010011000000
3120222222021202221221200212012
4123233113110203200103000
5111442340311200320000
61111250555131552052
734461235033335410
oct3357272443402300
9528867687850765
10122002112120000
1135967894781012
12118249b05bb628
13530c999433698
14221ad10242640
15e1884cc91735
hex6ef5d48e04c0

122002112120000 has 280 divisors, whose sum is σ = 345843552562464. Its totient is φ = 41817194496000.

The previous prime is 122002112119997. The next prime is 122002112120089. The reversal of 122002112120000 is 21211200221.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 995898752 + ... + 996021248.

Almost surely, 2122002112120000 is an apocalyptic number.

122002112120000 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 122002112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172921776281232).

122002112120000 is an abundant number, since it is smaller than the sum of its proper divisors (223841440442464).

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

122002112120000 is an equidigital number, since it uses as much as digits as its factorization.

122002112120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126093 (or 126068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122002112120000 its reverse (21211200221), we get a palindrome (122023323320221).

The spelling of 122002112120000 in words is "one hundred twenty-two trillion, two billion, one hundred twelve million, one hundred twenty thousand".