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121211110020000 = 25354711132018167
BaseRepresentation
bin11011100011110110101001…
…001001111101001110100000
3120220011200001122221122020010
4123203312221021331032200
5111341410323131120000
61105443340515444520
734350133205410110
oct3343665111751640
9526150048848203
10121211110020000
1135692385703810
12117176375b6740
13528320a6804c0
1421d0912d07040
15e02ea48b3d50
hex6e3da927d3a0

121211110020000 has 960 divisors, whose sum is σ = 533836370479104. Its totient is φ = 23249272320000.

The previous prime is 121211110019983. The next prime is 121211110020017. The reversal of 121211110020000 is 20011112121.

It is an interprime number because it is at equal distance from previous prime (121211110019983) and next prime (121211110020017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59050917 + ... + 61069083.

Almost surely, 2121211110020000 is an apocalyptic number.

121211110020000 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 121211110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266918185239552).

121211110020000 is an abundant number, since it is smaller than the sum of its proper divisors (412625260459104).

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

121211110020000 is a wasteful number, since it uses less digits than its factorization.

121211110020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018231 (or 2018208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121211110020000 its reverse (20011112121), we get a palindrome (121231121132121).

The spelling of 121211110020000 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred ten million, twenty thousand".