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120121001000000 = 26567311133179
BaseRepresentation
bin11011010011111111011001…
…100110000011110001000000
3120202022110022002111201021222
4123103333121212003301000
5111221030302224000000
61103250454232134212
734205312245544000
oct3323773146036100
9522273262451258
10120121001000000
1135302037575460
1211580308237368
135204491b11420
142193c5d304000
15dd4952438a85
hex6d3fd9983c40

120121001000000 has 3136 divisors, whose sum is σ = 426714537984000. Its totient is φ = 33022080000000.

The previous prime is 120121000999999. The next prime is 120121001000003. The reversal of 120121001000000 is 100121021.

It is a tau number, because it is divible by the number of its divisors (3136).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (120121001000003) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1520518999961 + ... + 1520519000039.

Almost surely, 2120121001000000 is an apocalyptic number.

120121001000000 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 120121001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213357268992000).

120121001000000 is an abundant number, since it is smaller than the sum of its proper divisors (306593536984000).

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

120121001000000 is an frugal number, since it uses more digits than its factorization.

120121001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120121001000000 its reverse (100121021), we get a palindrome (120121101121021).

The spelling of 120121001000000 in words is "one hundred twenty trillion, one hundred twenty-one billion, one million", and thus it is an aban number.